TSTP Solution File: SWV135+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV135+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n026.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 31 18:44:18 EDT 2022

% Result   : Theorem 1.24s 0.51s
% Output   : Refutation 1.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   36 (   9 unt;   0 def)
%            Number of atoms       :  100 (   8 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :   92 (  28   ~;  22   |;  33   &)
%                                         (   2 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f799,plain,
    $false,
    inference(avatar_sat_refutation,[],[f613,f630,f787]) ).

fof(f787,plain,
    ~ spl0_41,
    inference(avatar_contradiction_clause,[],[f786]) ).

fof(f786,plain,
    ( $false
    | ~ spl0_41 ),
    inference(subsumption_resolution,[],[f770,f612]) ).

fof(f612,plain,
    ( gt(pv1325,n2)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f610,plain,
    ( spl0_41
  <=> gt(pv1325,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f770,plain,
    ~ gt(pv1325,n2),
    inference(unit_resulting_resolution,[],[f163,f305,f144]) ).

fof(f144,plain,
    ! [X2,X0,X1] :
      ( ~ gt(X0,X1)
      | gt(X0,X2)
      | ~ gt(X1,X2) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0,X1,X2] :
      ( ~ gt(X1,X2)
      | ~ gt(X0,X1)
      | gt(X0,X2) ),
    inference(flattening,[],[f112]) ).

fof(f112,plain,
    ! [X2,X0,X1] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( ( gt(X1,X2)
        & gt(X0,X1) )
     => gt(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_gt) ).

fof(f305,plain,
    ~ gt(pv1325,n0),
    inference(resolution,[],[f133,f168]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | leq(X0,X1) ),
    inference(rectify,[],[f96]) ).

fof(f96,plain,
    ! [X1,X0] :
      ( ~ gt(X0,X1)
      | leq(X1,X0) ),
    inference(ennf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( gt(X0,X1)
     => leq(X1,X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X1,X0] :
      ( gt(X1,X0)
     => leq(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt1) ).

fof(f133,plain,
    ~ leq(n0,pv1325),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ( leq(s_sworst7,n3)
    & leq(n2,pv1325)
    & leq(n0,s_sworst7)
    & leq(s_best7,n3)
    & leq(n0,s_worst7)
    & leq(pv1325,n3)
    & leq(s_worst7,n3)
    & ~ leq(n0,pv1325)
    & leq(n0,s_best7) ),
    inference(flattening,[],[f106]) ).

fof(f106,plain,
    ( ~ leq(n0,pv1325)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(s_best7,n3)
    & leq(s_worst7,n3)
    & leq(n2,pv1325)
    & leq(n0,s_best7)
    & leq(pv1325,n3)
    & leq(s_sworst7,n3) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(n0,s_worst7)
        & leq(n0,s_sworst7)
        & leq(s_best7,n3)
        & leq(s_worst7,n3)
        & leq(n2,pv1325)
        & leq(n0,s_best7)
        & leq(pv1325,n3)
        & leq(s_sworst7,n3) )
     => leq(n0,pv1325) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(n0,s_worst7)
      & leq(n0,s_sworst7)
      & leq(s_best7,n3)
      & leq(s_worst7,n3)
      & leq(n2,pv1325)
      & leq(n0,s_best7)
      & leq(pv1325,n3)
      & leq(s_sworst7,n3) )
   => leq(n0,pv1325) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_array_0005) ).

fof(f163,plain,
    gt(n2,n0),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,axiom,
    gt(n2,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_0) ).

fof(f630,plain,
    ~ spl0_40,
    inference(avatar_contradiction_clause,[],[f629]) ).

fof(f629,plain,
    ( $false
    | ~ spl0_40 ),
    inference(subsumption_resolution,[],[f619,f163]) ).

fof(f619,plain,
    ( ~ gt(n2,n0)
    | ~ spl0_40 ),
    inference(backward_demodulation,[],[f305,f608]) ).

fof(f608,plain,
    ( n2 = pv1325
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f606,plain,
    ( spl0_40
  <=> n2 = pv1325 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f613,plain,
    ( spl0_40
    | spl0_41 ),
    inference(avatar_split_clause,[],[f600,f610,f606]) ).

fof(f600,plain,
    ( gt(pv1325,n2)
    | n2 = pv1325 ),
    inference(resolution,[],[f139,f167]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( gt(X0,X1)
      | X0 = X1
      | ~ leq(X1,X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( gt(X0,X1)
      | ~ leq(X1,X0)
      | X0 = X1 ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ! [X1,X0] :
      ( gt(X0,X1)
      | ~ leq(X1,X0)
      | X0 = X1 ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X1,X0] :
      ( ( leq(X1,X0)
        & X0 != X1 )
     => gt(X0,X1) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X1,X0] :
      ( ( X0 != X1
        & leq(X0,X1) )
     => gt(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt2) ).

fof(f139,plain,
    leq(n2,pv1325),
    inference(cnf_transformation,[],[f107]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV135+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 19:16:51 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (5049)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49  % (5049)Instruction limit reached!
% 0.20/0.49  % (5049)------------------------------
% 0.20/0.49  % (5049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (5041)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50  % (5063)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.50  % (5049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (5049)Termination reason: Unknown
% 0.20/0.50  % (5049)Termination phase: shuffling
% 0.20/0.50  
% 0.20/0.50  % (5049)Memory used [KB]: 1663
% 0.20/0.50  % (5049)Time elapsed: 0.005 s
% 0.20/0.50  % (5049)Instructions burned: 7 (million)
% 0.20/0.50  % (5049)------------------------------
% 0.20/0.50  % (5049)------------------------------
% 0.20/0.50  % (5057)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.50  % (5045)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (5056)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.51  % (5038)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51  % (5045)Instruction limit reached!
% 0.20/0.51  % (5045)------------------------------
% 0.20/0.51  % (5045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (5045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (5045)Termination reason: Unknown
% 0.20/0.51  % (5045)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (5045)Memory used [KB]: 6140
% 0.20/0.51  % (5045)Time elapsed: 0.105 s
% 0.20/0.51  % (5045)Instructions burned: 7 (million)
% 0.20/0.51  % (5045)------------------------------
% 0.20/0.51  % (5045)------------------------------
% 0.20/0.51  % (5055)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (5041)First to succeed.
% 1.24/0.51  % (5041)Refutation found. Thanks to Tanya!
% 1.24/0.51  % SZS status Theorem for theBenchmark
% 1.24/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 1.24/0.51  % (5041)------------------------------
% 1.24/0.51  % (5041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.51  % (5041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.51  % (5041)Termination reason: Refutation
% 1.24/0.51  
% 1.24/0.51  % (5041)Memory used [KB]: 6268
% 1.24/0.51  % (5041)Time elapsed: 0.104 s
% 1.24/0.51  % (5041)Instructions burned: 15 (million)
% 1.24/0.51  % (5041)------------------------------
% 1.24/0.51  % (5041)------------------------------
% 1.24/0.51  % (5033)Success in time 0.166 s
%------------------------------------------------------------------------------