TSTP Solution File: LCL953^8 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL953^8 : TPTP v8.2.0. Released v8.1.0.
% 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 : n013.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 00:24:10 EDT 2024

% Result   : Theorem 0.25s 0.43s
% Output   : Refutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   31 (   6 unt;  20 typ;   0 def)
%            Number of atoms       :  141 (   5 equ;   0 cnn)
%            Maximal formula atoms :   13 (  12 avg)
%            Number of connectives :  175 (   5   ~;   0   |;   0   &; 170   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   8 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   52 (  52   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  18 usr;   3 con; 0-3 aty)
%            Number of variables   :   21 (  20   ^   0   !;   0   ?;  21   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    mworld: $tType ).

thf(func_def_0,type,
    mworld: $tType ).

thf(func_def_1,type,
    mrel: mworld > mworld > $o ).

thf(func_def_2,type,
    mactual: mworld ).

thf(func_def_3,type,
    mlocal: ( mworld > $o ) > $o ).

thf(func_def_5,type,
    mnot: ( mworld > $o ) > mworld > $o ).

thf(func_def_6,type,
    mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_7,type,
    mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_8,type,
    mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_9,type,
    mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_10,type,
    mbox: ( mworld > $o ) > mworld > $o ).

thf(func_def_11,type,
    mdia: ( mworld > $o ) > mworld > $o ).

thf(func_def_12,type,
    eiw_di: $i > mworld > $o ).

thf(func_def_13,type,
    mforall_di: ( $i > mworld > $o ) > mworld > $o ).

thf(func_def_14,type,
    mexists_di: ( $i > mworld > $o ) > mworld > $o ).

thf(func_def_15,type,
    in: $i > $i > mworld > $o ).

thf(func_def_16,type,
    disjoint: $i > $i > mworld > $o ).

thf(func_def_17,type,
    empty: $i > mworld > $o ).

thf(func_def_18,type,
    singleton: $i > $i ).

thf(func_def_33,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f61,plain,
    $false,
    inference(subsumption_resolution,[],[f58,f57]) ).

thf(f57,plain,
    ( ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [Y0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [Y1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( in @ Y0 @ Y1 ) ) ) ) @ ( mbox @ ( disjoint @ ( singleton @ Y0 ) @ Y1 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f41]) ).

thf(f41,plain,
    ( ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [Y0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [Y1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( in @ Y0 @ Y1 ) ) ) ) @ ( mbox @ ( disjoint @ ( singleton @ Y0 ) @ Y1 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f40]) ).

thf(f40,plain,
    ( mlocal
    @ ( mbox
      @ ( mforall_di
        @ ^ [X0: $i] :
            ( mbox
            @ ( mforall_di
              @ ^ [X1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( in @ X0 @ X1 ) ) ) ) @ ( mbox @ ( disjoint @ ( singleton @ X0 ) @ X1 ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f19]) ).

thf(f19,axiom,
    ( mlocal
    @ ( mbox
      @ ( mforall_di
        @ ^ [X1: $i] :
            ( mbox
            @ ( mforall_di
              @ ^ [X3: $i] : ( mbox @ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( in @ X1 @ X3 ) ) ) ) @ ( mbox @ ( disjoint @ ( singleton @ X1 ) @ X3 ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l28_zfmisc_1) ).

thf(f58,plain,
    ( ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [Y0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [Y1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( in @ Y0 @ Y1 ) ) ) ) @ ( mbox @ ( disjoint @ ( singleton @ Y0 ) @ Y1 ) ) ) ) ) ) ) ) )
   != $true ),
    inference(cnf_transformation,[],[f56]) ).

thf(f56,plain,
    ( ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [Y0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [Y1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( in @ Y0 @ Y1 ) ) ) ) @ ( mbox @ ( disjoint @ ( singleton @ Y0 ) @ Y1 ) ) ) ) ) ) ) ) )
   != $true ),
    inference(flattening,[],[f49]) ).

thf(f49,plain,
    ( ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [Y0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [Y1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( in @ Y0 @ Y1 ) ) ) ) @ ( mbox @ ( disjoint @ ( singleton @ Y0 ) @ Y1 ) ) ) ) ) ) ) ) )
   != $true ),
    inference(fool_elimination,[],[f48]) ).

thf(f48,plain,
    ~ ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [X0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [X1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( in @ X0 @ X1 ) ) ) ) @ ( mbox @ ( disjoint @ ( singleton @ X0 ) @ X1 ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f18]) ).

thf(f18,negated_conjecture,
    ~ ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [X1: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [X3: $i] : ( mbox @ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( in @ X1 @ X3 ) ) ) ) @ ( mbox @ ( disjoint @ ( singleton @ X1 ) @ X3 ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f17]) ).

thf(f17,conjecture,
    ( mlocal
    @ ( mbox
      @ ( mforall_di
        @ ^ [X1: $i] :
            ( mbox
            @ ( mforall_di
              @ ^ [X3: $i] : ( mbox @ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( in @ X1 @ X3 ) ) ) ) @ ( mbox @ ( disjoint @ ( singleton @ X1 ) @ X3 ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_zfmisc_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15  % Problem    : LCL953^8 : TPTP v8.2.0. Released v8.1.0.
% 0.09/0.17  % 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
% 0.17/0.39  % Computer : n013.cluster.edu
% 0.17/0.39  % Model    : x86_64 x86_64
% 0.17/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39  % Memory   : 8042.1875MB
% 0.17/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39  % CPULimit   : 300
% 0.17/0.39  % WCLimit    : 300
% 0.17/0.39  % DateTime   : Mon May 20 02:32:53 EDT 2024
% 0.17/0.39  % CPUTime    : 
% 0.17/0.39  This is a TH0_THM_EQU_NAR problem
% 0.17/0.39  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
% 0.25/0.41  % (8859)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.25/0.41  % (8859)Instruction limit reached!
% 0.25/0.41  % (8859)------------------------------
% 0.25/0.41  % (8859)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.41  % (8859)Termination reason: Unknown
% 0.25/0.41  % (8859)Termination phase: Property scanning
% 0.25/0.41  
% 0.25/0.41  % (8860)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 (2999ds/2Mi)
% 0.25/0.41  % (8859)Memory used [KB]: 1023
% 0.25/0.41  % (8859)Time elapsed: 0.003 s
% 0.25/0.41  % (8859)Instructions burned: 4 (million)
% 0.25/0.41  % (8859)------------------------------
% 0.25/0.41  % (8859)------------------------------
% 0.25/0.41  % (8860)Instruction limit reached!
% 0.25/0.41  % (8860)------------------------------
% 0.25/0.41  % (8860)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.41  % (8860)Termination reason: Unknown
% 0.25/0.41  % (8860)Termination phase: Property scanning
% 0.25/0.41  
% 0.25/0.41  % (8860)Memory used [KB]: 1023
% 0.25/0.41  % (8860)Time elapsed: 0.003 s
% 0.25/0.41  % (8860)Instructions burned: 3 (million)
% 0.25/0.41  % (8860)------------------------------
% 0.25/0.41  % (8860)------------------------------
% 0.25/0.42  % (8863)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.25/0.42  % (8856)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.25/0.42  % (8863)Instruction limit reached!
% 0.25/0.42  % (8863)------------------------------
% 0.25/0.42  % (8863)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.42  % (8863)Termination reason: Unknown
% 0.25/0.42  % (8863)Termination phase: Function definition elimination
% 0.25/0.42  
% 0.25/0.42  % (8863)Memory used [KB]: 1023
% 0.25/0.42  % (8863)Time elapsed: 0.003 s
% 0.25/0.42  % (8863)Instructions burned: 5 (million)
% 0.25/0.42  % (8863)------------------------------
% 0.25/0.42  % (8863)------------------------------
% 0.25/0.42  % (8861)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 (2999ds/275Mi)
% 0.25/0.42  % (8857)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 (2999ds/4Mi)
% 0.25/0.42  % (8862)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.25/0.42  % (8857)Instruction limit reached!
% 0.25/0.42  % (8857)------------------------------
% 0.25/0.42  % (8857)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.42  % (8857)Termination reason: Unknown
% 0.25/0.42  % (8857)Termination phase: shuffling
% 0.25/0.42  
% 0.25/0.42  % (8857)Memory used [KB]: 1023
% 0.25/0.42  % (8857)Time elapsed: 0.003 s
% 0.25/0.42  % (8857)Instructions burned: 4 (million)
% 0.25/0.42  % (8857)------------------------------
% 0.25/0.42  % (8857)------------------------------
% 0.25/0.42  % (8861)First to succeed.
% 0.25/0.43  % (8861)Refutation found. Thanks to Tanya!
% 0.25/0.43  % SZS status Theorem for theBenchmark
% 0.25/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.43  % (8861)------------------------------
% 0.25/0.43  % (8861)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.43  % (8861)Termination reason: Refutation
% 0.25/0.43  
% 0.25/0.43  % (8861)Memory used [KB]: 5500
% 0.25/0.43  % (8861)Time elapsed: 0.005 s
% 0.25/0.43  % (8861)Instructions burned: 4 (million)
% 0.25/0.43  % (8861)------------------------------
% 0.25/0.43  % (8861)------------------------------
% 0.25/0.43  % (8855)Success in time 0.016 s
% 0.25/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------