TSTP Solution File: SEV166^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV166^5 : 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 : n012.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 04:12:13 EDT 2024

% Result   : Theorem 0.14s 0.39s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   37 (   4 unt;   9 typ;   0 def)
%            Number of atoms       :   81 (  80 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  198 (  33   ~;  32   |;  15   &; 112   @)
%                                         (   4 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  108 ( 108   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   90 (  52   ^  20   !;  16   ?;  90   :)
%                                         (   2  !>;   0  ?*;   0  @-;   0  @+)

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

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

thf(func_def_2,type,
    vEPSILON: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_7,type,
    sK0: a ).

thf(func_def_8,type,
    sK1: a ).

thf(func_def_9,type,
    sK2: a ).

thf(func_def_10,type,
    sK3: a ).

thf(func_def_11,type,
    ph4: 
      !>[X0: $tType] : X0 ).

thf(func_def_12,type,
    sK5: a > a > a ).

thf(f50,plain,
    $false,
    inference(subsumption_resolution,[],[f49,f44]) ).

thf(f44,plain,
    sK1 = sK3,
    inference(trivial_inequality_removal,[],[f43]) ).

thf(f43,plain,
    ( ( sK1 = sK3 )
    | ( sK1 != sK1 ) ),
    inference(beta_eta_normalization,[],[f39]) ).

thf(f39,plain,
    ( ( sK1
     != ( ^ [Y0: a,Y1: a] : Y0
        @ sK1
        @ sK0 ) )
    | ( sK1 = sK3 ) ),
    inference(equality_factoring,[],[f36]) ).

thf(f36,plain,
    ! [X1: a > a > a] :
      ( ( ( X1 @ sK1 @ sK0 )
        = ( X1 @ sK3 @ sK0 ) )
      | ( sK1 = sK3 ) ),
    inference(beta_eta_normalization,[],[f35]) ).

thf(f35,plain,
    ! [X1: a > a > a] :
      ( ( sK1 = sK3 )
      | ( ( ^ [Y0: a > a > a] : ( Y0 @ sK1 @ sK0 )
          @ X1 )
        = ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK0 )
          @ X1 ) ) ),
    inference(argument_congruence,[],[f28]) ).

thf(f28,plain,
    ( ( ( ^ [Y0: a > a > a] : ( Y0 @ sK1 @ sK0 ) )
      = ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK0 ) ) )
    | ( sK1 = sK3 ) ),
    inference(backward_demodulation,[],[f12,f26]) ).

thf(f26,plain,
    sK0 = sK2,
    inference(trivial_inequality_removal,[],[f25]) ).

thf(f25,plain,
    ( ( sK2 != sK2 )
    | ( sK0 = sK2 ) ),
    inference(beta_eta_normalization,[],[f20]) ).

thf(f20,plain,
    ( ( ( ^ [Y0: a,Y1: a] : Y1
        @ sK1
        @ sK2 )
     != sK2 )
    | ( sK0 = sK2 ) ),
    inference(equality_factoring,[],[f18]) ).

thf(f18,plain,
    ! [X1: a > a > a] :
      ( ( ( X1 @ sK3 @ sK0 )
        = ( X1 @ sK1 @ sK2 ) )
      | ( sK0 = sK2 ) ),
    inference(beta_eta_normalization,[],[f16]) ).

thf(f16,plain,
    ! [X1: a > a > a] :
      ( ( ( ^ [Y0: a > a > a] : ( Y0 @ sK1 @ sK2 )
          @ X1 )
        = ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK0 )
          @ X1 ) )
      | ( sK0 = sK2 ) ),
    inference(argument_congruence,[],[f11]) ).

thf(f11,plain,
    ( ( ( ^ [Y0: a > a > a] : ( Y0 @ sK1 @ sK2 ) )
      = ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK0 ) ) )
    | ( sK0 = sK2 ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f10,plain,
    ( ( ( sK1 != sK3 )
      | ( sK0 != sK2 )
      | ( ( ^ [Y0: a > a > a] : ( Y0 @ sK1 @ sK2 ) )
       != ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK0 ) ) ) )
    & ( ( ( sK1 = sK3 )
        & ( sK0 = sK2 ) )
      | ( ( ^ [Y0: a > a > a] : ( Y0 @ sK1 @ sK2 ) )
        = ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK0 ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f8,f9]) ).

thf(f9,plain,
    ( ? [X0: a,X1: a,X2: a,X3: a] :
        ( ( ( X1 != X3 )
          | ( X0 != X2 )
          | ( ( ^ [Y0: a > a > a] : ( Y0 @ X1 @ X2 ) )
           != ( ^ [Y0: a > a > a] : ( Y0 @ X3 @ X0 ) ) ) )
        & ( ( ( X1 = X3 )
            & ( X0 = X2 ) )
          | ( ( ^ [Y0: a > a > a] : ( Y0 @ X1 @ X2 ) )
            = ( ^ [Y0: a > a > a] : ( Y0 @ X3 @ X0 ) ) ) ) )
   => ( ( ( sK1 != sK3 )
        | ( sK0 != sK2 )
        | ( ( ^ [Y0: a > a > a] : ( Y0 @ sK1 @ sK2 ) )
         != ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK0 ) ) ) )
      & ( ( ( sK1 = sK3 )
          & ( sK0 = sK2 ) )
        | ( ( ^ [Y0: a > a > a] : ( Y0 @ sK1 @ sK2 ) )
          = ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK0 ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f8,plain,
    ? [X0: a,X1: a,X2: a,X3: a] :
      ( ( ( X1 != X3 )
        | ( X0 != X2 )
        | ( ( ^ [Y0: a > a > a] : ( Y0 @ X1 @ X2 ) )
         != ( ^ [Y0: a > a > a] : ( Y0 @ X3 @ X0 ) ) ) )
      & ( ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ( ( ^ [Y0: a > a > a] : ( Y0 @ X1 @ X2 ) )
          = ( ^ [Y0: a > a > a] : ( Y0 @ X3 @ X0 ) ) ) ) ),
    inference(flattening,[],[f7]) ).

thf(f7,plain,
    ? [X0: a,X1: a,X2: a,X3: a] :
      ( ( ( X1 != X3 )
        | ( X0 != X2 )
        | ( ( ^ [Y0: a > a > a] : ( Y0 @ X1 @ X2 ) )
         != ( ^ [Y0: a > a > a] : ( Y0 @ X3 @ X0 ) ) ) )
      & ( ( ( X1 = X3 )
          & ( X0 = X2 ) )
        | ( ( ^ [Y0: a > a > a] : ( Y0 @ X1 @ X2 ) )
          = ( ^ [Y0: a > a > a] : ( Y0 @ X3 @ X0 ) ) ) ) ),
    inference(nnf_transformation,[],[f6]) ).

thf(f6,plain,
    ? [X0: a,X1: a,X2: a,X3: a] :
      ( ( ( ^ [Y0: a > a > a] : ( Y0 @ X1 @ X2 ) )
        = ( ^ [Y0: a > a > a] : ( Y0 @ X3 @ X0 ) ) )
    <~> ( ( X1 = X3 )
        & ( X0 = X2 ) ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ! [X0: a,X1: a,X2: a,X3: a] :
        ( ( ( X1 = X3 )
          & ( X0 = X2 ) )
      <=> ( ( ^ [Y0: a > a > a] : ( Y0 @ X1 @ X2 ) )
          = ( ^ [Y0: a > a > a] : ( Y0 @ X3 @ X0 ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ! [X0: a,X1: a,X2: a,X3: a] :
        ( ( ( X1 = X3 )
          & ( X0 = X2 ) )
      <=> ( ( ^ [X4: a > a > a] : ( X4 @ X3 @ X0 ) )
          = ( ^ [X5: a > a > a] : ( X5 @ X1 @ X2 ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ! [X3: a,X0: a,X1: a,X2: a] :
        ( ( ( X0 = X2 )
          & ( X1 = X3 ) )
      <=> ( ( ^ [X4: a > a > a] : ( X4 @ X2 @ X3 ) )
          = ( ^ [X4: a > a > a] : ( X4 @ X0 @ X1 ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ! [X3: a,X0: a,X1: a,X2: a] :
      ( ( ( X0 = X2 )
        & ( X1 = X3 ) )
    <=> ( ( ^ [X4: a > a > a] : ( X4 @ X2 @ X3 ) )
        = ( ^ [X4: a > a > a] : ( X4 @ X0 @ X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM182_pme) ).

thf(f12,plain,
    ( ( ( ^ [Y0: a > a > a] : ( Y0 @ sK1 @ sK2 ) )
      = ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK0 ) ) )
    | ( sK1 = sK3 ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f49,plain,
    sK1 != sK3,
    inference(trivial_inequality_removal,[],[f46]) ).

thf(f46,plain,
    ( ( sK1 != sK3 )
    | ( ( ^ [Y0: a > a > a] : ( Y0 @ sK1 @ sK0 ) )
     != ( ^ [Y0: a > a > a] : ( Y0 @ sK1 @ sK0 ) ) ) ),
    inference(backward_demodulation,[],[f33,f44]) ).

thf(f33,plain,
    ( ( sK1 != sK3 )
    | ( ( ^ [Y0: a > a > a] : ( Y0 @ sK1 @ sK0 ) )
     != ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK0 ) ) ) ),
    inference(subsumption_resolution,[],[f29,f26]) ).

thf(f29,plain,
    ( ( sK0 != sK2 )
    | ( ( ^ [Y0: a > a > a] : ( Y0 @ sK1 @ sK0 ) )
     != ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK0 ) ) )
    | ( sK1 != sK3 ) ),
    inference(backward_demodulation,[],[f13,f26]) ).

thf(f13,plain,
    ( ( ( ^ [Y0: a > a > a] : ( Y0 @ sK1 @ sK2 ) )
     != ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK0 ) ) )
    | ( sK1 != sK3 )
    | ( sK0 != sK2 ) ),
    inference(cnf_transformation,[],[f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEV166^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14  % 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
% 0.14/0.34  % Computer : n012.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
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 18:57:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH0_THM_EQU_NAR problem
% 0.14/0.35  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
% 0.14/0.37  % (1188)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.14/0.37  % (1186)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.37  % (1189)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.37  % (1190)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)
% 0.14/0.37  % (1191)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)
% 0.14/0.37  % (1192)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.37  % (1189)Instruction limit reached!
% 0.14/0.37  % (1189)------------------------------
% 0.14/0.37  % (1189)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (1189)Termination reason: Unknown
% 0.14/0.37  % (1189)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (1190)Instruction limit reached!
% 0.14/0.37  % (1190)------------------------------
% 0.14/0.37  % (1190)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (1189)Memory used [KB]: 5373
% 0.14/0.37  % (1189)Time elapsed: 0.003 s
% 0.14/0.37  % (1189)Instructions burned: 2 (million)
% 0.14/0.37  % (1189)------------------------------
% 0.14/0.37  % (1189)------------------------------
% 0.14/0.37  % (1190)Termination reason: Unknown
% 0.14/0.37  % (1190)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (1190)Memory used [KB]: 5373
% 0.14/0.37  % (1190)Time elapsed: 0.003 s
% 0.14/0.37  % (1190)Instructions burned: 2 (million)
% 0.14/0.37  % (1190)------------------------------
% 0.14/0.37  % (1190)------------------------------
% 0.14/0.37  % (1188)Refutation not found, incomplete strategy
% 0.14/0.37  % (1188)------------------------------
% 0.14/0.37  % (1188)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (1188)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37  
% 0.14/0.37  
% 0.14/0.37  % (1188)Memory used [KB]: 5500
% 0.14/0.37  % (1188)Time elapsed: 0.004 s
% 0.14/0.37  % (1188)Instructions burned: 1 (million)
% 0.14/0.37  % (1188)------------------------------
% 0.14/0.37  % (1188)------------------------------
% 0.14/0.37  % (1191)Refutation not found, incomplete strategy
% 0.14/0.37  % (1191)------------------------------
% 0.14/0.37  % (1191)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (1191)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37  
% 0.14/0.37  
% 0.14/0.37  % (1191)Memory used [KB]: 5500
% 0.14/0.37  % (1191)Time elapsed: 0.003 s
% 0.14/0.37  % (1191)Instructions burned: 2 (million)
% 0.14/0.37  % (1191)------------------------------
% 0.14/0.37  % (1191)------------------------------
% 0.14/0.37  % (1187)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)
% 0.14/0.37  % (1187)Instruction limit reached!
% 0.14/0.37  % (1187)------------------------------
% 0.14/0.37  % (1187)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (1187)Termination reason: Unknown
% 0.14/0.37  % (1187)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (1187)Memory used [KB]: 5500
% 0.14/0.37  % (1187)Time elapsed: 0.005 s
% 0.14/0.37  % (1187)Instructions burned: 5 (million)
% 0.14/0.37  % (1187)------------------------------
% 0.14/0.37  % (1187)------------------------------
% 0.14/0.38  % (1192)Instruction limit reached!
% 0.14/0.38  % (1192)------------------------------
% 0.14/0.38  % (1192)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (1192)Termination reason: Unknown
% 0.14/0.38  % (1192)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (1192)Memory used [KB]: 5500
% 0.14/0.38  % (1192)Time elapsed: 0.013 s
% 0.14/0.38  % (1192)Instructions burned: 18 (million)
% 0.14/0.38  % (1192)------------------------------
% 0.14/0.38  % (1192)------------------------------
% 0.14/0.38  % (1193)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)
% 0.14/0.38  % (1193)Instruction limit reached!
% 0.14/0.38  % (1193)------------------------------
% 0.14/0.38  % (1193)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (1193)Termination reason: Unknown
% 0.14/0.38  % (1193)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (1193)Memory used [KB]: 5500
% 0.14/0.38  % (1193)Time elapsed: 0.004 s
% 0.14/0.38  % (1193)Instructions burned: 3 (million)
% 0.14/0.38  % (1193)------------------------------
% 0.14/0.38  % (1193)------------------------------
% 0.14/0.38  % (1195)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.14/0.38  % (1194)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.38  % (1195)Refutation not found, incomplete strategy
% 0.14/0.38  % (1195)------------------------------
% 0.14/0.38  % (1195)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (1195)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38  
% 0.14/0.38  
% 0.14/0.38  % (1195)Memory used [KB]: 5500
% 0.14/0.38  % (1195)Time elapsed: 0.003 s
% 0.14/0.38  % (1195)Instructions burned: 2 (million)
% 0.14/0.38  % (1195)------------------------------
% 0.14/0.38  % (1195)------------------------------
% 0.14/0.38  % (1196)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.38  % (1197)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.14/0.38  % (1196)Instruction limit reached!
% 0.14/0.38  % (1196)------------------------------
% 0.14/0.38  % (1196)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (1196)Termination reason: Unknown
% 0.14/0.38  % (1196)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (1196)Memory used [KB]: 5500
% 0.14/0.38  % (1196)Time elapsed: 0.004 s
% 0.14/0.38  % (1196)Instructions burned: 3 (million)
% 0.14/0.38  % (1196)------------------------------
% 0.14/0.38  % (1196)------------------------------
% 0.14/0.39  % (1198)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.39  % (1197)Refutation not found, incomplete strategy
% 0.14/0.39  % (1197)------------------------------
% 0.14/0.39  % (1197)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (1197)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  % (1197)Memory used [KB]: 5500
% 0.14/0.39  % (1197)Time elapsed: 0.008 s
% 0.14/0.39  % (1197)Instructions burned: 8 (million)
% 0.14/0.39  % (1197)------------------------------
% 0.14/0.39  % (1197)------------------------------
% 0.14/0.39  % (1198)First to succeed.
% 0.14/0.39  % (1199)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.39  % (1198)Refutation found. Thanks to Tanya!
% 0.14/0.39  % SZS status Theorem for theBenchmark
% 0.14/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39  % (1198)------------------------------
% 0.14/0.39  % (1198)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (1198)Termination reason: Refutation
% 0.14/0.39  
% 0.14/0.39  % (1198)Memory used [KB]: 1023
% 0.14/0.39  % (1198)Time elapsed: 0.006 s
% 0.14/0.39  % (1198)Instructions burned: 4 (million)
% 0.14/0.39  % (1198)------------------------------
% 0.14/0.39  % (1198)------------------------------
% 0.14/0.39  % (1185)Success in time 0.046 s
% 0.14/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------