TSTP Solution File: ARI545_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI545_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 : n025.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 : Wed Aug 30 17:54:02 EDT 2023

% Result   : Theorem 0.21s 0.44s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   31 (  27 unt;   0 typ;   0 def)
%            Number of atoms       :   36 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   8   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number arithmetic     :  176 (  30 atm;  61 fun;  45 num;  40 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (   0 usr;   9 con; 0-2 aty)
%            Number of variables   :   40 (;  38   !;   2   ?;  40   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f682,plain,
    $false,
    inference(evaluation,[],[f681]) ).

tff(f681,plain,
    $less(0,$uminus(19)),
    inference(superposition,[],[f647,f243]) ).

tff(f243,plain,
    ! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
    inference(evaluation,[],[f208]) ).

tff(f208,plain,
    ! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = $sum(0,X3) ),
    inference(superposition,[],[f4,f7]) ).

tff(f7,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_143,[]) ).

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

tff(f647,plain,
    ! [X0: $int] : $less(0,$sum(19,$sum(X0,X0))),
    inference(evaluation,[],[f622]) ).

tff(f622,plain,
    ! [X0: $int] : $less(0,$sum($sum(6,$sum(X0,X0)),$uminus(-13))),
    inference(unit_resulting_resolution,[],[f275,f160]) ).

tff(f160,plain,
    ! [X2: $int,X3: $int] :
      ( $less(0,$sum(X3,$uminus(X2)))
      | ~ $less(X2,X3) ),
    inference(superposition,[],[f11,f7]) ).

tff(f11,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less($sum(X0,X2),$sum(X1,X2))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_148,[]) ).

tff(f275,plain,
    ! [X0: $int] : $less(-13,$sum(6,$sum(X0,X0))),
    inference(evaluation,[],[f269]) ).

tff(f269,plain,
    ! [X0: $int] : $less(-13,$sum($sum(5,$sum(X0,X0)),1)),
    inference(unit_resulting_resolution,[],[f26,f149,f9]) ).

tff(f9,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less(X0,X2)
      | ~ $less(X1,X2)
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_146,[]) ).

tff(f149,plain,
    ! [X0: $int] : $less(-13,$sum(5,$sum(X0,X0))),
    inference(evaluation,[],[f144]) ).

tff(f144,plain,
    ! [X0: $int] : $less(-13,$sum($sum(4,$sum(X0,X0)),1)),
    inference(unit_resulting_resolution,[],[f26,f89,f9]) ).

tff(f89,plain,
    ! [X0: $int] : $less(-13,$sum(4,$sum(X0,X0))),
    inference(evaluation,[],[f85]) ).

tff(f85,plain,
    ! [X0: $int] : $less(-13,$sum($sum(3,$sum(X0,X0)),1)),
    inference(unit_resulting_resolution,[],[f26,f76,f9]) ).

tff(f76,plain,
    ! [X0: $int] : $less(-13,$sum(3,$sum(X0,X0))),
    inference(evaluation,[],[f72]) ).

tff(f72,plain,
    ! [X0: $int] : $less(-13,$sum($sum(2,$sum(X0,X0)),1)),
    inference(unit_resulting_resolution,[],[f26,f60,f9]) ).

tff(f60,plain,
    ! [X0: $int] : $less(-13,$sum(2,$sum(X0,X0))),
    inference(evaluation,[],[f48]) ).

tff(f48,plain,
    ! [X0: $int] : $less(-13,$sum($sum(1,$sum(X0,X0)),1)),
    inference(unit_resulting_resolution,[],[f29,f26,f9]) ).

tff(f29,plain,
    ! [X0: $int] : $less(-13,$sum(1,$sum(X0,X0))),
    inference(forward_demodulation,[],[f24,f3]) ).

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

tff(f24,plain,
    ! [X0: $int] : $less(-13,$sum($sum(X0,X0),1)),
    inference(unit_resulting_resolution,[],[f16,f12]) ).

tff(f12,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(X0,1))
      | $less(X0,X1) ),
    introduced(theory_axiom_150,[]) ).

tff(f16,plain,
    ! [X0: $int] : ~ $less($sum(X0,X0),-13),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ! [X0: $int] : ~ $less($sum(X0,X0),-13),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] : $less($sum(X0,X0),-13),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] : $less($sum(X0,X0),-13),
    file('/export/starexec/sandbox/tmp/tmp.OPhm9OY5uT/Vampire---4.8_28303',int_combined_problem_9) ).

tff(f26,plain,
    ! [X0: $int] : $less(X0,$sum(X0,1)),
    inference(unit_resulting_resolution,[],[f8,f12]) ).

tff(f8,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_145,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ARI545_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.34  % Computer : n025.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
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 18:17:25 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TF0_THM_NEQ_ARI problem
% 0.14/0.35  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.OPhm9OY5uT/Vampire---4.8_28303
% 0.14/0.35  % (28531)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (28537)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.21/0.41  % (28539)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on Vampire---4 for (318ds/0Mi)
% 0.21/0.41  % (28540)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on Vampire---4 for (280ds/0Mi)
% 0.21/0.41  % (28538)lrs+1010_2:1_amm=off:bs=on:bsr=on:canc=force:fsd=off:fsr=off:gs=on:gsaa=full_model:gsem=on:nm=0:nwc=1.3:sas=z3:sac=on:tha=off:thi=overlap:tgt=ground:uwa=ground:stl=60_408 on Vampire---4 for (408ds/0Mi)
% 0.21/0.41  % (28536)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on Vampire---4 for (476ds/0Mi)
% 0.21/0.41  % (28535)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on Vampire---4 for (572ds/0Mi)
% 0.21/0.43  % (28534)lrs+2_32_add=large:amm=off:bd=off:bs=unit_only:drc=off:flr=on:fsd=off:fde=none:nm=0:nwc=1.1:sos=theory:sp=reverse_arity:tgt=ground:stl=180_1034 on Vampire---4 for (1034ds/0Mi)
% 0.21/0.43  % (28540)First to succeed.
% 0.21/0.44  % (28540)Refutation found. Thanks to Tanya!
% 0.21/0.44  % SZS status Theorem for Vampire---4
% 0.21/0.44  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.44  % (28540)------------------------------
% 0.21/0.44  % (28540)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44  % (28540)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44  % (28540)Termination reason: Refutation
% 0.21/0.44  
% 0.21/0.44  % (28540)Memory used [KB]: 1535
% 0.21/0.44  % (28540)Time elapsed: 0.024 s
% 0.21/0.44  % (28540)------------------------------
% 0.21/0.44  % (28540)------------------------------
% 0.21/0.44  % (28531)Success in time 0.084 s
% 0.21/0.44  28535 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.OPhm9OY5uT/Vampire---4.8_28303
% 0.21/0.44  % (28535)------------------------------
% 0.21/0.44  % (28535)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44  28537 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.OPhm9OY5uT/Vampire---4.8_28303
% 0.21/0.44  % (28537)------------------------------
% 0.21/0.44  % (28537)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44  28538 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.OPhm9OY5uT/Vampire---4.8_28303
% 0.21/0.44  % (28538)------------------------------
% 0.21/0.44  % (28538)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44  % (28537)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44  % (28538)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44  % (28537)Termination reason: Unknown
% 0.21/0.44  % (28538)Termination reason: Unknown
% 0.21/0.44  % (28538)Termination phase: Saturation
% 0.21/0.44  % (28537)Termination phase: Saturation
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  % (28535)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44  % (28535)Termination reason: Unknown
% 0.21/0.44  % (28538)Memory used [KB]: 895
% 0.21/0.44  % (28537)Memory used [KB]: 895
% 0.21/0.44  % (28535)Termination phase: Saturation
% 0.21/0.44  % (28538)Time elapsed: 0.028 s
% 0.21/0.44  
% 0.21/0.44  % (28537)Time elapsed: 0.028 s
% 0.21/0.44  % (28538)------------------------------
% 0.21/0.44  % (28538)------------------------------
% 0.21/0.44  % (28537)------------------------------
% 0.21/0.44  % (28537)------------------------------
% 0.21/0.44  % (28535)Memory used [KB]: 5373
% 0.21/0.44  % (28535)Time elapsed: 0.027 s
% 0.21/0.44  % (28535)------------------------------
% 0.21/0.44  % (28535)------------------------------
% 0.21/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------