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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LCL951^24 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:15:27 AM UTC 2026

% Result   : Theorem 2.52s 0.57s
% Output   : Refutation 2.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (  10 unt;   0 typ;   1 def)
%            Number of atoms       :  344 (   9 equ;   0 cnn)
%            Maximal formula atoms :   29 (  22 avg)
%            Number of connectives :  404 (   5   ~;   0   |;   0   &; 399   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   9 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   64 (  61 usr;   4 con; 0-10 aty)
%            Number of variables   :   33 (  33   ^;   0   !;   0   ?;  33   :)

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

thf(type_def_6,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    mrel: mworld > mworld > $o ).

thf(func_def_1,type,
    mactual: mworld ).

thf(func_def_2,type,
    mlocal: ( mworld > $o ) > $o ).

thf(func_def_4,type,
    mnot: ( mworld > $o ) > mworld > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(func_def_19,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_20,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_21,type,
    vNOT: $o > $o ).

thf(func_def_22,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_23,type,
    vAND: $o > $o > $o ).

thf(func_def_24,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_25,type,
    vOR: $o > $o > $o ).

thf(func_def_26,type,
    vIMP: $o > $o > $o ).

thf(func_def_27,type,
    vIFF: $o > $o > $o ).

thf(func_def_28,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_29,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_32,type,
    sK0: mworld > $i ).

thf(func_def_33,type,
    sP1: $o > $o ).

thf(func_def_34,type,
    sF2: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( ( X1 > X0 ) > mworld > $o ) > ( ( mworld > $o ) > X0 ) > X0 ) ).

thf(func_def_35,type,
    sF3: 
      !>[X0: $tType,X1: $tType] : ( ( ( X0 > X1 ) > X1 ) > ( X0 > X1 ) > X1 ) ).

thf(func_def_36,type,
    sF4: 
      !>[X0: $tType,X1: $tType] : ( ( ( X0 > X1 ) > mworld > $o ) > ( X0 > X1 ) > $i > mworld > $o ) ).

thf(func_def_37,type,
    sF5: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).

thf(func_def_38,type,
    sF6: 
      !>[X0: $tType] : ( X0 > ( X0 > mworld > $o ) > mworld > $o ) ).

thf(func_def_39,type,
    sF7: 
      !>[X0: $tType,X1: $tType] : ( X1 > ( X1 > mworld > $o ) > ( ( mworld > $o ) > X0 ) > X0 ) ).

thf(func_def_40,type,
    sF8: 
      !>[X0: $tType] : ( X0 > ( X0 > mworld > $o ) > mworld > $o ) ).

thf(func_def_41,type,
    sF9: 
      !>[X0: $tType] : ( X0 > ( X0 > mworld > $o ) > $i > mworld > $o ) ).

thf(func_def_42,type,
    sF10: 
      !>[X0: $tType,X1: $tType] : ( ( ( X0 > X1 ) > mworld > $o ) > ( X0 > X1 ) > mworld > $o ) ).

thf(func_def_43,type,
    sF11: $i > $i > $i > $i > $i > mworld > $o ).

thf(func_def_44,type,
    sF12: 
      !>[X0: $tType] : ( X0 > ( $i > mworld > $o ) > ( ( mworld > $o ) > mworld > $o ) > $i > ( X0 > mworld > $o ) > $i > mworld > $o ) ).

thf(func_def_45,type,
    sF13: 
      !>[X0: $tType,X1: $tType] : ( ( ( X0 > X1 ) > mworld > $o ) > ( X0 > X1 ) > $i > mworld > $o ) ).

thf(func_def_46,type,
    sF14: 
      !>[X0: $tType] : ( X0 > ( X0 > mworld > $o ) > mworld > $o ) ).

thf(func_def_47,type,
    sF15: $i > mworld > $o ).

thf(func_def_48,type,
    sF16: 
      !>[X0: $tType] : ( mworld > ( mworld > X0 ) > X0 ) ).

thf(func_def_49,type,
    sF17: 
      !>[X0: $tType] : ( ( mworld > $o ) > X0 > mworld > $o ) ).

thf(func_def_50,type,
    sF18: 
      !>[X0: $tType,X1: $tType] : ( X0 > mworld > ( mworld > $o ) > ( X0 > mworld > $o ) > ( X0 > X1 ) > mworld > $o ) ).

thf(func_def_51,type,
    sF19: ( $o > $o > $o ) > ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_52,type,
    sF20: 
      !>[X0: $tType] : ( X0 > ( mworld > $o ) > X0 ) ).

thf(func_def_53,type,
    sF21: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( X0 > ( X0 > X2 > X1 ) > X2 > X1 ) ).

thf(func_def_54,type,
    sF22: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( X3 > X5 > $o ) > ( ( X3 > X5 > $o ) > ( X2 > X4 ) > X1 > X0 ) > ( X2 > X4 ) > X1 > X0 ) ).

thf(func_def_55,type,
    sF23: 
      !>[X0: $tType,X1: $tType] : ( ( ( mworld > X0 ) > X1 ) > ( mworld > X0 ) > X1 ) ).

thf(func_def_56,type,
    sF24: mworld > ( $i > mworld > $o ) > $i > $o ).

thf(func_def_57,type,
    sF25: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > ( X1 > X0 > $i > mworld > $o ) > $i > mworld > $o ) ).

thf(func_def_58,type,
    sF26: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > ( X0 > mworld > $o ) > X2 > X1 ) > X0 > ( X0 > mworld > $o ) > X2 > X1 ) ).

thf(func_def_59,type,
    sF27: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X2 ) > ( ( X0 > X2 ) > X1 ) > X1 ) ).

thf(func_def_60,type,
    sF28: 
      !>[X0: $tType] : ( ( X0 > mworld > $o ) > ( ( X0 > mworld > $o ) > mworld > $o ) > mworld > $o ) ).

thf(func_def_61,type,
    sF29: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( ( X1 > X3 ) > X0 ) > ( ( ( X1 > X3 ) > X0 ) > ( X1 > X3 ) > X2 ) > ( X1 > X3 ) > X2 ) ).

thf(func_def_62,type,
    sF30: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > mworld > $o ) > X0 > ( ( mworld > $o ) > mworld > $o ) > ( ( mworld > $o ) > X1 > mworld > $o ) > X1 > mworld > $o ) ).

thf(f25,conjecture,
    ( mlocal
    @ ( mbox
      @ ( mforall_di
        @ ^ [X0: $i] :
            ( mbox
            @ ( mforall_di
              @ ^ [X1: $i] :
                  ( mbox
                  @ ( mnot
                    @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ ( singleton @ X1 ) ) ) ) )
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ empty_set ) ) ) )
                        @ ( mbox
                          @ ( mforall_di
                            @ ^ [X2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ X2 @ X0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_zfmisc_1) ).

thf(f26,negated_conjecture,
    ~ ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [X0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [X1: $i] :
                    ( mbox
                    @ ( mnot
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ ( singleton @ X1 ) ) ) ) )
                        @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ empty_set ) ) ) )
                          @ ( mbox
                            @ ( mforall_di
                              @ ^ [X2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ X2 @ X0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f25]) ).

thf(f27,axiom,
    ( mlocal
    @ ( mbox
      @ ( mforall_di
        @ ^ [X0: $i] :
            ( mbox
            @ ( mforall_di
              @ ^ [X1: $i] :
                  ( mbox
                  @ ( mnot
                    @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ ( singleton @ X1 ) ) ) ) )
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ empty_set ) ) ) )
                        @ ( mbox
                          @ ( mforall_di
                            @ ^ [X2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ X2 @ X0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l45_zfmisc_1) ).

thf(f75,plain,
    ~ ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [X0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [X1: $i] :
                    ( mbox
                    @ ( mnot
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ ( singleton @ X1 ) ) ) ) )
                        @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ empty_set ) ) ) )
                          @ ( mbox
                            @ ( mforall_di
                              @ ^ [X2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ X2 @ X0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f26]) ).

thf(f76,plain,
    ( $true
   != ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [Y0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [Y1: $i] :
                    ( mbox
                    @ ( mnot
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ ( singleton @ Y1 ) ) ) ) )
                        @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ empty_set ) ) ) )
                          @ ( mbox
                            @ ( mforall_di
                              @ ^ [Y2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ Y2 @ Y0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f75]) ).

thf(f77,plain,
    ( mlocal
    @ ( mbox
      @ ( mforall_di
        @ ^ [X0: $i] :
            ( mbox
            @ ( mforall_di
              @ ^ [X1: $i] :
                  ( mbox
                  @ ( mnot
                    @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ ( singleton @ X1 ) ) ) ) )
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ empty_set ) ) ) )
                        @ ( mbox
                          @ ( mforall_di
                            @ ^ [X2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ X2 @ X0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f27]) ).

thf(f78,plain,
    ( $true
    = ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [Y0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [Y1: $i] :
                    ( mbox
                    @ ( mnot
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ ( singleton @ Y1 ) ) ) ) )
                        @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ empty_set ) ) ) )
                          @ ( mbox
                            @ ( mforall_di
                              @ ^ [Y2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ Y2 @ Y0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f77]) ).

thf(f79,plain,
    ( $true
   != ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [Y0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [Y1: $i] :
                    ( mbox
                    @ ( mnot
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ ( singleton @ Y1 ) ) ) ) )
                        @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ empty_set ) ) ) )
                          @ ( mbox
                            @ ( mforall_di
                              @ ^ [Y2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ Y2 @ Y0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(flattening,[],[f76]) ).

thf(f107,plain,
    ( $true
   != ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [Y0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [Y1: $i] :
                    ( mbox
                    @ ( mnot
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ ( singleton @ Y1 ) ) ) ) )
                        @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ empty_set ) ) ) )
                          @ ( mbox
                            @ ( mforall_di
                              @ ^ [Y2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ Y2 @ Y0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f79]) ).

thf(f108,plain,
    ( $true
    = ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [Y0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [Y1: $i] :
                    ( mbox
                    @ ( mnot
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ ( singleton @ Y1 ) ) ) ) )
                        @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ empty_set ) ) ) )
                          @ ( mbox
                            @ ( mforall_di
                              @ ^ [Y2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ Y2 @ Y0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f78]) ).

thf(f111,definition,
    ( $false
    = ( sP1
      @ ( mlocal
        @ ( mbox
          @ ( mforall_di
            @ ^ [Y0: $i] :
                ( mbox
                @ ( mforall_di
                  @ ^ [Y1: $i] :
                      ( mbox
                      @ ( mnot
                        @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ ( singleton @ Y1 ) ) ) ) )
                          @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ empty_set ) ) ) )
                            @ ( mbox
                              @ ( mforall_di
                                @ ^ [Y2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ Y2 @ Y0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP1])],[inequality_splitting_name_introduction]) ).

thf(f112,plain,
    ( $true
    = ( sP1 @ $true ) ),
    inference(inequality_splitting,[],[f107,f111]) ).

thf(f115,plain,
    ( $false
    = ( sP1 @ $true ) ),
    inference(forward_demodulation,[],[f111,f108]) ).

thf(f180,plain,
    $true = $false,
    inference(constrained_superposition,[],[f112,f115]) ).

thf(f183,plain,
    $false,
    inference(trivial_inequality_removal,[],[f180]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL951^24 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  % Computer : n004.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Tue Sep 29 10:52:38 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  Running first-order model finding
% 0.09/0.20  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.52/0.57  % (1140675)Will run a generic schedule for satisfiability detection.
% 2.52/0.57  % (1140685)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4108605204:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.52/0.57  % (1140680)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2019738789_2999 on theBenchmark for (2999ds/0Mi)
% 2.52/0.57  % (1140682)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4086090587:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.52/0.57  % (1140683)dis+10_1_sil=32000:sp=arity:random_seed=1627222455:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.52/0.57  % (1140684)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3564433394:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.52/0.57  % (1140686)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1296048245:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.52/0.57  % (1140684)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.52/0.57  % (1140681)% WARNING: option uhcvi not known.
% 2.52/0.57  % Exception at run slice level
% 2.52/0.57  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.52/0.57  % (1140681)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=978076741:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.52/0.57  % (1140681)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.52/0.57  % (1140681)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.52/0.57  % (1140685)Instruction limit reached! 
% 2.52/0.57  % (1140685)------------------------------
% 2.52/0.57  % (1140685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.57  % (1140685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.57  % (1140685)CaDiCaL version: 2.1.3
% 2.52/0.57  % (1140685)Termination reason: Instruction limit
% 2.52/0.57  % (1140685)Termination phase: Saturation
% 2.52/0.57  % (1140685)Time elapsed: 0.032 s
% 2.52/0.57  % (1140685)Peak memory usage: 13 MB
% 2.52/0.57  % (1140685)Instructions burned: 134 (million)
% 2.52/0.57  % (1140694)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3361612556:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.52/0.57  % Exception at run slice level
% 2.52/0.57  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.52/0.57  % (1140695)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1432033020:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.52/0.57  % (1140683)Instruction limit reached! 
% 2.52/0.57  % (1140683)------------------------------
% 2.52/0.57  % (1140683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.57  % (1140683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.57  % (1140683)CaDiCaL version: 2.1.3
% 2.52/0.57  % (1140683)Termination reason: Instruction limit
% 2.52/0.57  % (1140683)Termination phase: Saturation
% 2.52/0.57  % (1140683)Time elapsed: 0.047 s
% 2.52/0.57  % (1140683)Peak memory usage: 12 MB
% 2.52/0.57  % (1140683)Instructions burned: 104 (million)
% 2.52/0.57  % (1140697)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3998313721:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.52/0.57  % (1140684)Instruction limit reached! 
% 2.52/0.57  % (1140684)------------------------------
% 2.52/0.57  % (1140684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.57  % (1140684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.57  % (1140684)CaDiCaL version: 2.1.3
% 2.52/0.57  % (1140684)Termination reason: Instruction limit
% 2.52/0.57  % (1140684)Termination phase: Saturation
% 2.52/0.57  % (1140684)Time elapsed: 0.053 s
% 2.52/0.57  % (1140684)Peak memory usage: 13 MB
% 2.52/0.57  % (1140684)Instructions burned: 118 (million)
% 2.52/0.57  % (1140697)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.52/0.57  % (1140697)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.52/0.57  % (1140695)Instruction limit reached! 
% 2.52/0.57  % (1140695)------------------------------
% 2.52/0.57  % (1140695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.57  % (1140695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.57  % (1140695)CaDiCaL version: 2.1.3
% 2.52/0.57  % (1140695)Termination reason: Instruction limit
% 2.52/0.57  % (1140695)Termination phase: Saturation
% 2.52/0.57  % (1140695)Time elapsed: 0.030 s
% 2.52/0.57  % (1140695)Peak memory usage: 13 MB
% 2.52/0.57  % (1140695)Instructions burned: 132 (million)
% 2.52/0.57  % (1140699)ott-21_1_sil=16000:fs=off:random_seed=474340563:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 2.52/0.57  % (1140701)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1211743551:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 2.52/0.57  % (1140702)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=888073901:fmbsr=1.3:i=865:ins=25_2999 on theBenchmark for (2999ds/865Mi)
% 2.52/0.57  % (1140686)Instruction limit reached! 
% 2.52/0.57  % (1140686)------------------------------
% 2.52/0.57  % (1140686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.57  % (1140686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.57  % (1140686)CaDiCaL version: 2.1.3
% 2.52/0.57  % (1140686)Termination reason: Instruction limit
% 2.52/0.57  % (1140686)Termination phase: Saturation
% 2.52/0.57  % (1140686)Time elapsed: 0.075 s
% 2.52/0.57  % (1140686)Peak memory usage: 13 MB
% 2.52/0.57  % (1140686)Instructions burned: 159 (million)
% 2.52/0.57  % Exception at run slice level
% 2.52/0.57  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.52/0.57  % (1140707)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1393871753:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 2.52/0.57  % Exception at run slice level
% 2.52/0.57  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.52/0.57  % (1140706)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3851495722:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 2.52/0.57  % (1140709)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2888798483:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 2.52/0.57  % (1140709)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.52/0.57  % (1140699)Instruction limit reached! 
% 2.52/0.57  % (1140699)------------------------------
% 2.52/0.57  % (1140699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.57  % (1140699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.57  % (1140699)CaDiCaL version: 2.1.3
% 2.52/0.57  % (1140699)Termination reason: Instruction limit
% 2.52/0.57  % (1140699)Termination phase: Saturation
% 2.52/0.57  % (1140699)Time elapsed: 0.074 s
% 2.52/0.57  % (1140699)Peak memory usage: 12 MB
% 2.52/0.57  % (1140699)Instructions burned: 180 (million)
% 2.52/0.57  % (1140712)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3006654165:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 2.52/0.57  % (1140712)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.52/0.57  % (1140709)Instruction limit reached! 
% 2.52/0.57  % (1140709)------------------------------
% 2.52/0.57  % (1140709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.57  % (1140709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.57  % (1140709)CaDiCaL version: 2.1.3
% 2.52/0.57  % (1140709)Termination reason: Instruction limit
% 2.52/0.57  % (1140709)Termination phase: Saturation
% 2.52/0.57  % (1140709)Time elapsed: 0.167 s
% 2.52/0.57  % (1140709)Peak memory usage: 14 MB
% 2.52/0.57  % (1140709)Instructions burned: 695 (million)
% 2.52/0.57  % (1140714)fmb+10_1_sil=64000:random_seed=482439445:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 2.52/0.57  % (1140714)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.52/0.57  % Exception at run slice level
% 2.52/0.57  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.52/0.57  % (1140716)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3352945103:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 2.52/0.57  % Exception at run slice level
% 2.52/0.57  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.52/0.57  % (1140701)Instruction limit reached! 
% 2.52/0.57  % (1140701)------------------------------
% 2.52/0.57  % (1140701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.57  % (1140701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.57  % (1140701)CaDiCaL version: 2.1.3
% 2.52/0.57  % (1140701)Termination reason: Instruction limit
% 2.52/0.57  % (1140701)Termination phase: Saturation
% 2.52/0.57  % (1140701)Time elapsed: 0.232 s
% 2.52/0.57  % (1140701)Peak memory usage: 13 MB
% 2.52/0.57  % (1140701)Instructions burned: 478 (million)
% 2.52/0.57  % (1140718)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3507967484:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 2.52/0.57  % Exception at run slice level
% 2.52/0.57  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.52/0.57  % (1140721)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4139851847:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 2.52/0.57  % (1140721)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.52/0.57  % (1140721)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.52/0.57  % (1140719)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1637153683:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 2.52/0.57  % (1140719)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.52/0.57  % (1140721) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1140675-1140721"...
% 2.52/0.57  % (1140721)...printing done.
% 2.52/0.57  % (1140721)Refutation found. Thanks to Tanya!
% 2.52/0.57  % SZS status Theorem for theBenchmark
% 2.52/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 2.52/0.57  % (1140721)------------------------------
% 2.52/0.57  % (1140721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.57  % (1140721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.57  % (1140721)CaDiCaL version: 2.1.3
% 2.52/0.57  % (1140721)Termination reason: Refutation
% 2.52/0.57  % (1140721)Time elapsed: 0.006 s
% 2.52/0.57  % (1140721)Peak memory usage: 13 MB
% 2.52/0.57  % (1140721)Instructions burned: 20 (million)
% 2.52/0.57  % (1140675)Success in time 0.359 s
% 2.52/0.57  % Vampire exiting
%------------------------------------------------------------------------------