TSTP Solution File: SYO089^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO089^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n010.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 : Tue May 21 09:02:54 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   19 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :  394 ( 111 equ)
%            Maximal formula atoms :   20 (  20 avg)
%            Number of connectives :  271 ( 118   ~;  78   |;  70   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of FOOLs       :  222 ( 222 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   4 usr;   6 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f39,plain,
    $false,
    inference(subsumption_resolution,[],[f32,f37]) ).

tff(f37,plain,
    p = $true,
    inference(trivial_inequality_removal,[],[f36]) ).

tff(f36,plain,
    ( ( $true != $true )
    | ( p = $true ) ),
    inference(duplicate_literal_removal,[],[f28]) ).

tff(f28,plain,
    ( ( p = $true )
    | ( $true != $true )
    | ( $true != $true )
    | ( $true != $true ) ),
    inference(definition_unfolding,[],[f11,f19,f20,f10]) ).

tff(f10,plain,
    t = $true,
    inference(cnf_transformation,[],[f9]) ).

tff(f9,plain,
    ( ( q = $true )
    & ( s = $true )
    & ( ( ( ( q != $true )
          | ( s != $true )
          | ( t != $true )
          | ( p != $true ) )
        & ( t = $true )
        & ( s = $true )
        & ( q = $true ) )
      | ( s != $true )
      | ( t != $true )
      | ( q != $true ) )
    & ( ( s != $true )
      | ( q != $true )
      | ( ( t = $true )
        & ( s = $true )
        & ( q = $true )
        & ( p = $true ) )
      | ( t != $true ) )
    & ( t = $true ) ),
    inference(flattening,[],[f8]) ).

tff(f8,plain,
    ( ( q = $true )
    & ( ( q != $true )
      | ( ( s = $true )
        & ( t = $true )
        & ( q = $true )
        & ( p = $true ) )
      | ( s != $true )
      | ( t != $true ) )
    & ( t = $true )
    & ( s = $true )
    & ( ( ( t = $true )
        & ( s = $true )
        & ( ( q != $true )
          | ( p != $true )
          | ( s != $true )
          | ( t != $true ) )
        & ( q = $true ) )
      | ( t != $true )
      | ( q != $true )
      | ( s != $true ) ) ),
    inference(ennf_transformation,[],[f7]) ).

tff(f7,plain,
    ~ ( ( ~ ( ~ ( ( t = $true )
                & ( s = $true ) )
            | ~ ( ( ~ ( ( q = $true )
                      & ( p = $true ) )
                  | ~ ( ( s = $true )
                      & ( t = $true ) ) )
                & ( q = $true ) ) )
        | ( t != $true )
        | ( q != $true )
        | ( s != $true ) )
     => ( ~ ( ( q = $true )
            & ( ~ ( ( q = $true )
                  & ( ~ ( ( s = $true )
                        & ( t = $true ) )
                    | ~ ( ( q = $true )
                        & ( p = $true ) ) ) )
              | ~ ( ( s = $true )
                  & ( t = $true ) ) ) )
        | ~ ( ( t = $true )
            & ( s = $true ) ) ) ),
    inference(flattening,[],[f6]) ).

tff(f6,plain,
    ~ ( ( ~ ( ~ ( ( t = $true )
                & ( s = $true ) )
            | ~ ( ( ~ ( ( q = $true )
                      & ( p = $true ) )
                  | ~ ( ( s = $true )
                      & ( t = $true ) ) )
                & ( q = $true ) ) )
        | ( s != $true )
        | ( q != $true )
        | ( t != $true ) )
     => ( ~ ( ( q = $true )
            & ( ~ ( ( q = $true )
                  & ( ~ ( ( s = $true )
                        & ( t = $true ) )
                    | ~ ( ( q = $true )
                        & ( p = $true ) ) ) )
              | ~ ( ( s = $true )
                  & ( t = $true ) ) ) )
        | ~ ( ( t = $true )
            & ( s = $true ) ) ) ),
    inference(fool_elimination,[],[f5]) ).

tff(f5,plain,
    ~ ( ( ~ ( ~ ( t
                & s )
            | ~ ( q
                & ( ~ ( t
                      & s )
                  | ~ ( q
                      & p ) ) ) )
        | ~ s
        | ~ q
        | ~ t )
     => ( ~ ( s
            & t )
        | ~ ( ( ~ ( q
                  & ( ~ ( q
                        & p )
                    | ~ ( s
                        & t ) ) )
              | ~ ( s
                  & t ) )
            & q ) ) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( ( ~ ( ~ ( t
                & s )
            | ~ ( q
                & ( ~ ( t
                      & s )
                  | ~ ( q
                      & p ) ) ) )
        | ~ s
        | ~ q
        | ~ t )
     => ( ~ ( s
            & t )
        | ~ ( ( ~ ( q
                  & ( ~ ( q
                        & p )
                    | ~ ( s
                        & t ) ) )
              | ~ ( s
                  & t ) )
            & q ) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( ( ~ ( ~ ( t
              & s )
          | ~ ( q
              & ( ~ ( t
                    & s )
                | ~ ( q
                    & p ) ) ) )
      | ~ s
      | ~ q
      | ~ t )
   => ( ~ ( s
          & t )
      | ~ ( ( ~ ( q
                & ( ~ ( q
                      & p )
                  | ~ ( s
                      & t ) ) )
            | ~ ( s
                & t ) )
          & q ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cDMG7) ).

tff(f20,plain,
    q = $true,
    inference(cnf_transformation,[],[f9]) ).

tff(f19,plain,
    s = $true,
    inference(cnf_transformation,[],[f9]) ).

tff(f11,plain,
    ( ( s != $true )
    | ( q != $true )
    | ( p = $true )
    | ( t != $true ) ),
    inference(cnf_transformation,[],[f9]) ).

tff(f32,plain,
    p != $true,
    inference(trivial_inequality_removal,[],[f31]) ).

tff(f31,plain,
    ( ( $true != $true )
    | ( p != $true ) ),
    inference(duplicate_literal_removal,[],[f21]) ).

tff(f21,plain,
    ( ( $true != $true )
    | ( $true != $true )
    | ( $true != $true )
    | ( p != $true )
    | ( $true != $true )
    | ( $true != $true )
    | ( $true != $true ) ),
    inference(definition_unfolding,[],[f18,f20,f19,f10,f19,f10,f20]) ).

tff(f18,plain,
    ( ( q != $true )
    | ( s != $true )
    | ( t != $true )
    | ( p != $true )
    | ( s != $true )
    | ( t != $true )
    | ( q != $true ) ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYO089^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34  % Computer : n010.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   : Mon May 20 09:37:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH0_THM_NEQ_NAR problem
% 0.13/0.35  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  % (27053)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.37  % (27054)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.13/0.37  % (27048)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.13/0.37  % (27054)First to succeed.
% 0.13/0.37  % (27052)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.13/0.37  % (27048)Also succeeded, but the first one will report.
% 0.13/0.37  % (27051)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.37  % (27054)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (27054)------------------------------
% 0.13/0.37  % (27054)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (27054)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (27054)Memory used [KB]: 5500
% 0.13/0.37  % (27054)Time elapsed: 0.003 s
% 0.13/0.37  % (27054)Instructions burned: 1 (million)
% 0.13/0.37  % (27054)------------------------------
% 0.13/0.37  % (27054)------------------------------
% 0.13/0.37  % (27046)Success in time 0.004 s
% 0.13/0.37  % Vampire---4.8 exiting
%------------------------------------------------------------------------------