TSTP Solution File: CSR125_8 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR125_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n017.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 : Mon May 20 19:46:05 EDT 2024

% Result   : Theorem 0.11s 0.35s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (  13 unt;   3 typ;   0 def)
%            Number of atoms       :   85 (  10 equ)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :   22 (  13   ~;   7   |;   1   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   59 (  57 fml;   2 var)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    3 (   2   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    9 (   9   !;   0   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    num: $tType ).

tff(func_def_7,type,
    bG0: $i > $o ).

tff(pred_def_1,type,
    holdsDuring_THFTYPE_IiooI: ( $i * $o ) > $o ).

tff(f38,plain,
    $false,
    inference(resolution,[],[f36,f15]) ).

tff(f15,plain,
    ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false),
    inference(cnf_transformation,[],[f11]) ).

tff(f11,plain,
    ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false),
    inference(flattening,[],[f8]) ).

tff(f8,plain,
    ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false),
    inference(fool_elimination,[],[f5]) ).

tff(f5,negated_conjecture,
    ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false),
    inference(negated_conjecture,[],[f4]) ).

tff(f4,conjecture,
    holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

tff(f36,plain,
    holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false),
    inference(superposition,[],[f18,f25]) ).

tff(f25,plain,
    $false = bG0(lBill_THFTYPE_i),
    inference(resolution,[],[f24,f17]) ).

tff(f17,plain,
    likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).

tff(f24,plain,
    ! [X0: $i] :
      ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
      | ( $false = bG0(X0) ) ),
    inference(trivial_inequality_removal,[],[f23]) ).

tff(f23,plain,
    ! [X0: $i] :
      ( ( $true != $true )
      | ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
      | ( $false = bG0(X0) ) ),
    inference(superposition,[],[f14,f7]) ).

tff(f7,plain,
    ! [X0: $o] :
      ( ( $true = (X0) )
      | ( $false = (X0) ) ),
    introduced(fool_axiom,[]) ).

tff(f14,plain,
    ! [X0: $i] :
      ( ( $true != bG0(X0) )
      | ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) ),
    inference(cnf_transformation,[],[f12]) ).

tff(f12,plain,
    ! [X0] :
      ( ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
        | ( $true != bG0(X0) ) )
      & ( ( $true = bG0(X0) )
        | likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) ) ),
    inference(nnf_transformation,[],[f9]) ).

tff(f9,plain,
    ! [X0] :
      ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
    <=> ( $true = bG0(X0) ) ),
    introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).

tff(f18,plain,
    ! [X0: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0(X0)),
    inference(cnf_transformation,[],[f10]) ).

tff(f10,plain,
    ! [X0] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0(X0)),
    inference(fool_elimination,[],[f3,f9]) ).

tff(f3,axiom,
    ! [X0] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : CSR125_8 : TPTP v8.2.0. Released v8.0.0.
% 0.09/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33  % Computer : n017.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sun May 19 02:23:52 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  % (3217)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34  % (3218)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34  % (3220)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.11/0.34  % (3219)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34  % (3223)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34  % (3224)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34  % (3222)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34  Detected minimum model sizes of [1,1,1,1,1]
% 0.11/0.34  Detected minimum model sizes of [1,1]
% 0.11/0.34  Detected maximum model sizes of [max,2]
% 0.11/0.34  Detected maximum model sizes of [1,2,max,1,2]
% 0.11/0.34  TRYING [1,1]
% 0.11/0.34  TRYING [1,1,1,1,1]
% 0.11/0.34  Detected minimum model sizes of [1,1]
% 0.11/0.34  Detected maximum model sizes of [max,2]
% 0.11/0.34  TRYING [1,2]
% 0.11/0.34  TRYING [1,1,1,1,2]
% 0.11/0.34  TRYING [1,1]
% 0.11/0.34  TRYING [1,2,2,1,2]
% 0.11/0.34  TRYING [2,2]
% 0.11/0.34  TRYING [1,2]
% 0.11/0.34  Cannot enumerate next child to try in an incomplete setup
% 0.11/0.34  Cannot enumerate next child to try in an incomplete setup
% 0.11/0.34  % (3219)Refutation not found, incomplete strategy% (3219)------------------------------
% 0.11/0.34  % (3219)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34  % (3219)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.34  
% 0.11/0.34  % (3219)Memory used [KB]: 724
% 0.11/0.34  % (3219)Time elapsed: 0.003 s
% 0.11/0.34  % (3219)Instructions burned: 3 (million)
% 0.11/0.34  TRYING [2,2]
% 0.11/0.34  % (3218)Refutation not found, incomplete strategy% (3218)------------------------------
% 0.11/0.34  % (3218)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34  % (3218)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.34  
% 0.11/0.34  % (3218)Memory used [KB]: 725
% 0.11/0.34  % (3218)Time elapsed: 0.003 s
% 0.11/0.34  % (3218)Instructions burned: 3 (million)
% 0.11/0.34  % (3220)First to succeed.
% 0.11/0.34  Cannot enumerate next child to try in an incomplete setup
% 0.11/0.34  % (3222)Also succeeded, but the first one will report.
% 0.11/0.34  % (3224)Refutation not found, incomplete strategy% (3224)------------------------------
% 0.11/0.34  % (3224)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34  % (3224)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.34  
% 0.11/0.34  % (3219)------------------------------
% 0.11/0.34  % (3219)------------------------------
% 0.11/0.34  % (3224)Memory used [KB]: 726
% 0.11/0.34  % (3218)------------------------------
% 0.11/0.34  % (3218)------------------------------
% 0.11/0.34  % (3224)Time elapsed: 0.003 s
% 0.11/0.34  % (3224)Instructions burned: 3 (million)
% 0.11/0.34  % (3220)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3217"
% 0.11/0.34  % (3224)------------------------------
% 0.11/0.34  % (3224)------------------------------
% 0.11/0.34  % (3223)Also succeeded, but the first one will report.
% 0.11/0.35  % (3220)Refutation found. Thanks to Tanya!
% 0.11/0.35  % SZS status Theorem for theBenchmark
% 0.11/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35  % (3220)------------------------------
% 0.11/0.35  % (3220)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.35  % (3220)Termination reason: Refutation
% 0.11/0.35  
% 0.11/0.35  % (3220)Memory used [KB]: 740
% 0.11/0.35  % (3220)Time elapsed: 0.003 s
% 0.11/0.35  % (3220)Instructions burned: 3 (million)
% 0.11/0.35  % (3217)Success in time 0.012 s
%------------------------------------------------------------------------------