TSTP Solution File: SWV565-1.004 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV565-1.004 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n011.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 Apr 30 17:02:23 EDT 2024

% Result   : Unsatisfiable 0.23s 0.53s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   49
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  191 (  47 unt;   0 def)
%            Number of atoms       :  500 ( 499 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  320 (  11   ~; 309   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;  25 con; 0-3 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4663,plain,
    $false,
    inference(subsumption_resolution,[],[f4639,f4537]) ).

fof(f4537,plain,
    e_19 = e_36,
    inference(forward_demodulation,[],[f4498,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : select(store(X0,X1,X2),X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).

fof(f4498,plain,
    e_36 = select(store(store(a1,i1,e_36),i1,e_19),i1),
    inference(superposition,[],[f1372,f4479]) ).

fof(f4479,plain,
    i1 = i_35,
    inference(subsumption_resolution,[],[f4478,f4350]) ).

fof(f4350,plain,
    ( i1 = i_35
    | e_23 = e_27 ),
    inference(forward_demodulation,[],[f4349,f377]) ).

fof(f377,plain,
    e_23 = e_25,
    inference(duplicate_literal_removal,[],[f371]) ).

fof(f371,plain,
    ( e_23 = e_25
    | e_23 = e_25
    | e_23 = e_25 ),
    inference(superposition,[],[f366,f360]) ).

fof(f360,plain,
    ( e_25 = e_27
    | e_23 = e_25 ),
    inference(forward_demodulation,[],[f348,f29]) ).

fof(f29,plain,
    e_25 = select(a_26,i2),
    inference(superposition,[],[f1,f7]) ).

fof(f7,axiom,
    a_26 = store(a_22,i2,e_25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).

fof(f348,plain,
    ( e_27 = select(a_26,i2)
    | e_23 = e_25 ),
    inference(superposition,[],[f16,f345]) ).

fof(f345,plain,
    ( i2 = i3
    | e_23 = e_25 ),
    inference(duplicate_literal_removal,[],[f334]) ).

fof(f334,plain,
    ( e_23 = e_25
    | e_23 = e_25
    | i2 = i3
    | e_23 = e_25
    | i2 = i3 ),
    inference(superposition,[],[f332,f306]) ).

fof(f306,plain,
    ( e_25 = e_31
    | e_23 = e_25
    | i2 = i3 ),
    inference(forward_demodulation,[],[f305,f29]) ).

fof(f305,plain,
    ( e_31 = select(a_26,i2)
    | e_23 = e_25
    | i2 = i3 ),
    inference(duplicate_literal_removal,[],[f299]) ).

fof(f299,plain,
    ( e_31 = select(a_26,i2)
    | e_23 = e_25
    | i2 = i3
    | i2 = i3 ),
    inference(superposition,[],[f279,f44]) ).

fof(f44,plain,
    ! [X0] :
      ( select(a_26,X0) = select(a_30,X0)
      | i3 = X0 ),
    inference(superposition,[],[f2,f9]) ).

fof(f9,axiom,
    a_30 = store(a_26,i3,e_29),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( select(store(X0,X1,X2),X3) = select(X0,X3)
      | X1 = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).

fof(f279,plain,
    ( e_31 = select(a_30,i2)
    | e_23 = e_25
    | i2 = i3 ),
    inference(superposition,[],[f18,f175]) ).

fof(f175,plain,
    ( i2 = i4
    | e_23 = e_25
    | i2 = i3 ),
    inference(forward_demodulation,[],[f168,f28]) ).

fof(f28,plain,
    e_23 = select(a_24,i2),
    inference(superposition,[],[f1,f6]) ).

fof(f6,axiom,
    a_24 = store(a_20,i2,e_23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).

fof(f168,plain,
    ( e_25 = select(a_24,i2)
    | i2 = i4
    | i2 = i3 ),
    inference(superposition,[],[f166,f29]) ).

fof(f166,plain,
    ! [X0] :
      ( select(a_24,X0) = select(a_26,X0)
      | i4 = X0
      | i3 = X0 ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X0] :
      ( select(a_24,X0) = select(a_26,X0)
      | i4 = X0
      | i3 = X0
      | i3 = X0 ),
    inference(superposition,[],[f88,f43]) ).

fof(f43,plain,
    ! [X0] :
      ( select(a_24,X0) = select(a_28,X0)
      | i3 = X0 ),
    inference(superposition,[],[f2,f8]) ).

fof(f8,axiom,
    a_28 = store(a_24,i3,e_27),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).

fof(f88,plain,
    ! [X0] :
      ( select(a_26,X0) = select(a_28,X0)
      | i4 = X0
      | i3 = X0 ),
    inference(superposition,[],[f87,f44]) ).

fof(f87,plain,
    ! [X0] :
      ( select(a_28,X0) = select(a_30,X0)
      | i4 = X0 ),
    inference(duplicate_literal_removal,[],[f82]) ).

fof(f82,plain,
    ! [X0] :
      ( select(a_28,X0) = select(a_30,X0)
      | i4 = X0
      | i4 = X0 ),
    inference(superposition,[],[f46,f45]) ).

fof(f45,plain,
    ! [X0] :
      ( select(a_28,X0) = select(a_32,X0)
      | i4 = X0 ),
    inference(superposition,[],[f2,f10]) ).

fof(f10,axiom,
    a_32 = store(a_28,i4,e_31),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).

fof(f46,plain,
    ! [X0] :
      ( select(a_30,X0) = select(a_32,X0)
      | i4 = X0 ),
    inference(superposition,[],[f2,f25]) ).

fof(f25,plain,
    a_32 = store(a_30,i4,e_33),
    inference(forward_demodulation,[],[f11,f23]) ).

fof(f23,axiom,
    a_32 = a_34,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).

fof(f11,axiom,
    a_34 = store(a_30,i4,e_33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).

fof(f18,axiom,
    e_31 = select(a_30,i4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp14) ).

fof(f332,plain,
    ( e_23 = e_31
    | e_23 = e_25
    | i2 = i3 ),
    inference(forward_demodulation,[],[f330,f28]) ).

fof(f330,plain,
    ( e_31 = select(a_24,i2)
    | e_23 = e_25
    | i2 = i3 ),
    inference(duplicate_literal_removal,[],[f323]) ).

fof(f323,plain,
    ( e_31 = select(a_24,i2)
    | e_23 = e_25
    | i2 = i3
    | i2 = i3 ),
    inference(superposition,[],[f294,f43]) ).

fof(f294,plain,
    ( e_31 = select(a_28,i2)
    | e_23 = e_25
    | i2 = i3 ),
    inference(forward_demodulation,[],[f280,f34]) ).

fof(f34,plain,
    e_31 = e_33,
    inference(forward_demodulation,[],[f33,f32]) ).

fof(f32,plain,
    e_31 = select(a_32,i4),
    inference(superposition,[],[f1,f10]) ).

fof(f33,plain,
    e_33 = select(a_32,i4),
    inference(superposition,[],[f1,f25]) ).

fof(f280,plain,
    ( e_33 = select(a_28,i2)
    | e_23 = e_25
    | i2 = i3 ),
    inference(superposition,[],[f19,f175]) ).

fof(f19,axiom,
    e_33 = select(a_28,i4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).

fof(f16,axiom,
    e_27 = select(a_26,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).

fof(f366,plain,
    ( e_23 = e_27
    | e_23 = e_25 ),
    inference(superposition,[],[f361,f117]) ).

fof(f117,plain,
    e_27 = e_29,
    inference(duplicate_literal_removal,[],[f112]) ).

fof(f112,plain,
    ( e_27 = e_29
    | e_27 = e_29
    | e_27 = e_29 ),
    inference(superposition,[],[f109,f104]) ).

fof(f104,plain,
    ( e_29 = e_31
    | e_27 = e_29 ),
    inference(forward_demodulation,[],[f97,f31]) ).

fof(f31,plain,
    e_29 = select(a_30,i3),
    inference(superposition,[],[f1,f9]) ).

fof(f97,plain,
    ( e_31 = select(a_30,i3)
    | e_27 = e_29 ),
    inference(superposition,[],[f18,f94]) ).

fof(f94,plain,
    ( i3 = i4
    | e_27 = e_29 ),
    inference(forward_demodulation,[],[f89,f30]) ).

fof(f30,plain,
    e_27 = select(a_28,i3),
    inference(superposition,[],[f1,f8]) ).

fof(f89,plain,
    ( e_29 = select(a_28,i3)
    | i3 = i4 ),
    inference(superposition,[],[f87,f31]) ).

fof(f109,plain,
    ( e_27 = e_31
    | e_27 = e_29 ),
    inference(superposition,[],[f105,f34]) ).

fof(f105,plain,
    ( e_27 = e_33
    | e_27 = e_29 ),
    inference(forward_demodulation,[],[f98,f30]) ).

fof(f98,plain,
    ( e_33 = select(a_28,i3)
    | e_27 = e_29 ),
    inference(superposition,[],[f19,f94]) ).

fof(f361,plain,
    ( e_23 = e_29
    | e_23 = e_25 ),
    inference(forward_demodulation,[],[f349,f28]) ).

fof(f349,plain,
    ( e_29 = select(a_24,i2)
    | e_23 = e_25 ),
    inference(superposition,[],[f17,f345]) ).

fof(f17,axiom,
    e_29 = select(a_24,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).

fof(f4349,plain,
    ( e_25 = e_27
    | i1 = i_35 ),
    inference(forward_demodulation,[],[f4348,f15]) ).

fof(f15,axiom,
    e_25 = select(a_20,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).

fof(f4348,plain,
    ( e_27 = select(a_20,i2)
    | i1 = i_35 ),
    inference(forward_demodulation,[],[f4344,f3958]) ).

fof(f3958,plain,
    e_27 = e_36,
    inference(subsumption_resolution,[],[f3937,f3908]) ).

fof(f3908,plain,
    ( e_27 = e_36
    | e_19 = e_36 ),
    inference(forward_demodulation,[],[f3907,f764]) ).

fof(f764,plain,
    e_19 = e_21,
    inference(duplicate_literal_removal,[],[f758]) ).

fof(f758,plain,
    ( e_19 = e_21
    | e_19 = e_21
    | e_19 = e_21 ),
    inference(superposition,[],[f751,f745]) ).

fof(f745,plain,
    ( e_21 = e_23
    | e_19 = e_21 ),
    inference(forward_demodulation,[],[f729,f27]) ).

fof(f27,plain,
    e_21 = select(a_22,i1),
    inference(superposition,[],[f1,f5]) ).

fof(f5,axiom,
    a_22 = store(a2,i1,e_21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).

fof(f729,plain,
    ( e_23 = select(a_22,i1)
    | e_19 = e_21 ),
    inference(superposition,[],[f14,f726]) ).

fof(f726,plain,
    ( i1 = i2
    | e_19 = e_21 ),
    inference(duplicate_literal_removal,[],[f714]) ).

fof(f714,plain,
    ( e_19 = e_21
    | e_19 = e_21
    | i1 = i2
    | e_19 = e_21
    | i1 = i2 ),
    inference(superposition,[],[f712,f677]) ).

fof(f677,plain,
    ( e_21 = e_27
    | e_19 = e_21
    | i1 = i2 ),
    inference(forward_demodulation,[],[f675,f27]) ).

fof(f675,plain,
    ( e_27 = select(a_22,i1)
    | e_19 = e_21
    | i1 = i2 ),
    inference(duplicate_literal_removal,[],[f667]) ).

fof(f667,plain,
    ( e_27 = select(a_22,i1)
    | e_19 = e_21
    | i1 = i2
    | i1 = i2 ),
    inference(superposition,[],[f643,f42]) ).

fof(f42,plain,
    ! [X0] :
      ( select(a_22,X0) = select(a_26,X0)
      | i2 = X0 ),
    inference(superposition,[],[f2,f7]) ).

fof(f643,plain,
    ( e_27 = select(a_26,i1)
    | e_19 = e_21
    | i1 = i2 ),
    inference(superposition,[],[f16,f639]) ).

fof(f639,plain,
    ( i1 = i3
    | e_19 = e_21
    | i1 = i2 ),
    inference(duplicate_literal_removal,[],[f624]) ).

fof(f624,plain,
    ( e_19 = e_21
    | e_19 = e_21
    | i1 = i3
    | i1 = i2
    | e_19 = e_21
    | i1 = i3
    | i1 = i2 ),
    inference(superposition,[],[f616,f586]) ).

fof(f586,plain,
    ( e_21 = e_31
    | e_19 = e_21
    | i1 = i3
    | i1 = i2 ),
    inference(forward_demodulation,[],[f584,f27]) ).

fof(f584,plain,
    ( e_31 = select(a_22,i1)
    | e_19 = e_21
    | i1 = i3
    | i1 = i2 ),
    inference(duplicate_literal_removal,[],[f577]) ).

fof(f577,plain,
    ( e_31 = select(a_22,i1)
    | e_19 = e_21
    | i1 = i3
    | i1 = i2
    | i1 = i2 ),
    inference(superposition,[],[f559,f42]) ).

fof(f559,plain,
    ( e_31 = select(a_26,i1)
    | e_19 = e_21
    | i1 = i3
    | i1 = i2 ),
    inference(duplicate_literal_removal,[],[f553]) ).

fof(f553,plain,
    ( e_31 = select(a_26,i1)
    | e_19 = e_21
    | i1 = i3
    | i1 = i2
    | i1 = i3 ),
    inference(superposition,[],[f528,f44]) ).

fof(f528,plain,
    ( e_31 = select(a_30,i1)
    | e_19 = e_21
    | i1 = i3
    | i1 = i2 ),
    inference(superposition,[],[f18,f523]) ).

fof(f523,plain,
    ( i1 = i4
    | e_19 = e_21
    | i1 = i3
    | i1 = i2 ),
    inference(forward_demodulation,[],[f511,f26]) ).

fof(f26,plain,
    e_19 = select(a_20,i1),
    inference(superposition,[],[f1,f4]) ).

fof(f4,axiom,
    a_20 = store(a1,i1,e_19),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).

fof(f511,plain,
    ( e_21 = select(a_20,i1)
    | i1 = i4
    | i1 = i3
    | i1 = i2 ),
    inference(superposition,[],[f510,f27]) ).

fof(f510,plain,
    ! [X0] :
      ( select(a_20,X0) = select(a_22,X0)
      | i4 = X0
      | i3 = X0
      | i2 = X0 ),
    inference(duplicate_literal_removal,[],[f499]) ).

fof(f499,plain,
    ! [X0] :
      ( select(a_20,X0) = select(a_22,X0)
      | i4 = X0
      | i3 = X0
      | i2 = X0
      | i2 = X0 ),
    inference(superposition,[],[f167,f41]) ).

fof(f41,plain,
    ! [X0] :
      ( select(a_20,X0) = select(a_24,X0)
      | i2 = X0 ),
    inference(superposition,[],[f2,f6]) ).

fof(f167,plain,
    ! [X0] :
      ( select(a_22,X0) = select(a_24,X0)
      | i4 = X0
      | i3 = X0
      | i2 = X0 ),
    inference(superposition,[],[f166,f42]) ).

fof(f616,plain,
    ( e_19 = e_31
    | e_19 = e_21
    | i1 = i3
    | i1 = i2 ),
    inference(forward_demodulation,[],[f614,f26]) ).

fof(f614,plain,
    ( e_31 = select(a_20,i1)
    | e_19 = e_21
    | i1 = i3
    | i1 = i2 ),
    inference(duplicate_literal_removal,[],[f607]) ).

fof(f607,plain,
    ( e_31 = select(a_20,i1)
    | e_19 = e_21
    | i1 = i3
    | i1 = i2
    | i1 = i2 ),
    inference(superposition,[],[f574,f41]) ).

fof(f574,plain,
    ( e_31 = select(a_24,i1)
    | e_19 = e_21
    | i1 = i3
    | i1 = i2 ),
    inference(duplicate_literal_removal,[],[f567]) ).

fof(f567,plain,
    ( e_31 = select(a_24,i1)
    | e_19 = e_21
    | i1 = i3
    | i1 = i2
    | i1 = i3 ),
    inference(superposition,[],[f548,f43]) ).

fof(f548,plain,
    ( e_31 = select(a_28,i1)
    | e_19 = e_21
    | i1 = i3
    | i1 = i2 ),
    inference(forward_demodulation,[],[f529,f34]) ).

fof(f529,plain,
    ( e_33 = select(a_28,i1)
    | e_19 = e_21
    | i1 = i3
    | i1 = i2 ),
    inference(superposition,[],[f19,f523]) ).

fof(f712,plain,
    ( e_19 = e_27
    | e_19 = e_21
    | i1 = i2 ),
    inference(forward_demodulation,[],[f709,f26]) ).

fof(f709,plain,
    ( e_27 = select(a_20,i1)
    | e_19 = e_21
    | i1 = i2 ),
    inference(duplicate_literal_removal,[],[f700]) ).

fof(f700,plain,
    ( e_27 = select(a_20,i1)
    | e_19 = e_21
    | i1 = i2
    | i1 = i2 ),
    inference(superposition,[],[f661,f41]) ).

fof(f661,plain,
    ( e_27 = select(a_24,i1)
    | e_19 = e_21
    | i1 = i2 ),
    inference(forward_demodulation,[],[f644,f117]) ).

fof(f644,plain,
    ( e_29 = select(a_24,i1)
    | e_19 = e_21
    | i1 = i2 ),
    inference(superposition,[],[f17,f639]) ).

fof(f14,axiom,
    e_23 = select(a_22,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).

fof(f751,plain,
    ( e_19 = e_23
    | e_19 = e_21 ),
    inference(superposition,[],[f746,f377]) ).

fof(f746,plain,
    ( e_19 = e_25
    | e_19 = e_21 ),
    inference(forward_demodulation,[],[f730,f26]) ).

fof(f730,plain,
    ( e_25 = select(a_20,i1)
    | e_19 = e_21 ),
    inference(superposition,[],[f15,f726]) ).

fof(f3907,plain,
    ( e_21 = e_36
    | e_27 = e_36 ),
    inference(forward_demodulation,[],[f3867,f13]) ).

fof(f13,axiom,
    e_21 = select(a1,i1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).

fof(f3867,plain,
    ( select(a1,i1) = e_36
    | e_27 = e_36 ),
    inference(superposition,[],[f20,f3863]) ).

fof(f3863,plain,
    ( i1 = i_35
    | e_27 = e_36 ),
    inference(subsumption_resolution,[],[f3835,f3773]) ).

fof(f3773,plain,
    ( i1 = i_35
    | e_23 = e_36
    | e_27 = e_36 ),
    inference(forward_demodulation,[],[f3772,f377]) ).

fof(f3772,plain,
    ( e_25 = e_36
    | i1 = i_35
    | e_27 = e_36 ),
    inference(forward_demodulation,[],[f3769,f15]) ).

fof(f3769,plain,
    ( select(a_20,i2) = e_36
    | i1 = i_35
    | e_27 = e_36 ),
    inference(duplicate_literal_removal,[],[f3712]) ).

fof(f3712,plain,
    ( select(a_20,i2) = e_36
    | i1 = i_35
    | i1 = i_35
    | e_27 = e_36 ),
    inference(superposition,[],[f51,f3703]) ).

fof(f3703,plain,
    ( i2 = i_35
    | i1 = i_35
    | e_27 = e_36 ),
    inference(forward_demodulation,[],[f3702,f117]) ).

fof(f3702,plain,
    ( e_29 = e_36
    | i1 = i_35
    | i2 = i_35 ),
    inference(subsumption_resolution,[],[f3684,f3599]) ).

fof(f3599,plain,
    ( i2 != i3
    | i1 = i_35
    | i2 = i_35 ),
    inference(equality_factoring,[],[f3560]) ).

fof(f3560,plain,
    ( i3 = i_35
    | i1 = i_35
    | i2 = i_35 ),
    inference(subsumption_resolution,[],[f3559,f3421]) ).

fof(f3421,plain,
    ( i2 != i4
    | i3 = i_35
    | i2 = i_35
    | i1 = i_35 ),
    inference(equality_factoring,[],[f3384]) ).

fof(f3384,plain,
    ( i4 = i_35
    | i3 = i_35
    | i2 = i_35
    | i1 = i_35 ),
    inference(subsumption_resolution,[],[f3383,f24]) ).

fof(f24,axiom,
    e_36 != e_37,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

fof(f3383,plain,
    ( e_36 = e_37
    | i4 = i_35
    | i3 = i_35
    | i2 = i_35
    | i1 = i_35 ),
    inference(duplicate_literal_removal,[],[f3362]) ).

fof(f3362,plain,
    ( e_36 = e_37
    | i4 = i_35
    | i3 = i_35
    | i2 = i_35
    | i1 = i_35
    | i1 = i_35 ),
    inference(superposition,[],[f515,f51]) ).

fof(f515,plain,
    ( e_37 = select(a_20,i_35)
    | i4 = i_35
    | i3 = i_35
    | i2 = i_35
    | i1 = i_35 ),
    inference(superposition,[],[f510,f55]) ).

fof(f55,plain,
    ( e_37 = select(a_22,i_35)
    | i1 = i_35 ),
    inference(superposition,[],[f40,f21]) ).

fof(f21,axiom,
    e_37 = select(a2,i_35),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).

fof(f40,plain,
    ! [X0] :
      ( select(a2,X0) = select(a_22,X0)
      | i1 = X0 ),
    inference(superposition,[],[f2,f5]) ).

fof(f3559,plain,
    ( i1 = i_35
    | i3 = i_35
    | i2 = i_35
    | i2 = i4 ),
    inference(subsumption_resolution,[],[f3558,f3420]) ).

fof(f3420,plain,
    ( i3 != i4
    | i3 = i_35
    | i2 = i_35
    | i1 = i_35 ),
    inference(equality_factoring,[],[f3384]) ).

fof(f3558,plain,
    ( i1 = i_35
    | i3 = i_35
    | i2 = i_35
    | i3 = i4
    | i2 = i4 ),
    inference(subsumption_resolution,[],[f3541,f3513]) ).

fof(f3513,plain,
    ( e_31 != e_36
    | i1 = i_35
    | i3 = i_35
    | i2 = i_35 ),
    inference(superposition,[],[f24,f3509]) ).

fof(f3509,plain,
    ( e_31 = e_37
    | i1 = i_35
    | i3 = i_35
    | i2 = i_35 ),
    inference(subsumption_resolution,[],[f3508,f3421]) ).

fof(f3508,plain,
    ( e_31 = e_37
    | i1 = i_35
    | i3 = i_35
    | i2 = i_35
    | i2 = i4 ),
    inference(subsumption_resolution,[],[f3490,f3420]) ).

fof(f3490,plain,
    ( e_31 = e_37
    | i1 = i_35
    | i3 = i_35
    | i2 = i_35
    | i3 = i4
    | i2 = i4 ),
    inference(superposition,[],[f3441,f78]) ).

fof(f78,plain,
    ( e_31 = select(a_22,i4)
    | i3 = i4
    | i2 = i4 ),
    inference(superposition,[],[f75,f42]) ).

fof(f75,plain,
    ( e_31 = select(a_26,i4)
    | i3 = i4 ),
    inference(superposition,[],[f44,f18]) ).

fof(f3441,plain,
    ( e_37 = select(a_22,i4)
    | i1 = i_35
    | i3 = i_35
    | i2 = i_35 ),
    inference(duplicate_literal_removal,[],[f3388]) ).

fof(f3388,plain,
    ( e_37 = select(a_22,i4)
    | i1 = i_35
    | i3 = i_35
    | i2 = i_35
    | i1 = i_35 ),
    inference(superposition,[],[f55,f3384]) ).

fof(f3541,plain,
    ( e_31 = e_36
    | i1 = i_35
    | i3 = i_35
    | i2 = i_35
    | i3 = i4
    | i2 = i4 ),
    inference(superposition,[],[f3442,f72]) ).

fof(f72,plain,
    ( e_31 = select(a_20,i4)
    | i3 = i4
    | i2 = i4 ),
    inference(superposition,[],[f70,f41]) ).

fof(f70,plain,
    ( e_31 = select(a_24,i4)
    | i3 = i4 ),
    inference(forward_demodulation,[],[f67,f34]) ).

fof(f67,plain,
    ( e_33 = select(a_24,i4)
    | i3 = i4 ),
    inference(superposition,[],[f43,f19]) ).

fof(f3442,plain,
    ( e_36 = select(a_20,i4)
    | i1 = i_35
    | i3 = i_35
    | i2 = i_35 ),
    inference(duplicate_literal_removal,[],[f3387]) ).

fof(f3387,plain,
    ( e_36 = select(a_20,i4)
    | i1 = i_35
    | i3 = i_35
    | i2 = i_35
    | i1 = i_35 ),
    inference(superposition,[],[f51,f3384]) ).

fof(f3684,plain,
    ( e_29 = e_36
    | i1 = i_35
    | i2 = i_35
    | i2 = i3 ),
    inference(superposition,[],[f3620,f59]) ).

fof(f59,plain,
    ( e_29 = select(a_20,i3)
    | i2 = i3 ),
    inference(superposition,[],[f41,f17]) ).

fof(f3620,plain,
    ( e_36 = select(a_20,i3)
    | i1 = i_35
    | i2 = i_35 ),
    inference(duplicate_literal_removal,[],[f3564]) ).

fof(f3564,plain,
    ( e_36 = select(a_20,i3)
    | i1 = i_35
    | i1 = i_35
    | i2 = i_35 ),
    inference(superposition,[],[f51,f3560]) ).

fof(f51,plain,
    ( e_36 = select(a_20,i_35)
    | i1 = i_35 ),
    inference(superposition,[],[f39,f20]) ).

fof(f39,plain,
    ! [X0] :
      ( select(a1,X0) = select(a_20,X0)
      | i1 = X0 ),
    inference(superposition,[],[f2,f4]) ).

fof(f3835,plain,
    ( e_23 != e_36
    | i1 = i_35
    | e_27 = e_36 ),
    inference(superposition,[],[f24,f3774]) ).

fof(f3774,plain,
    ( e_23 = e_37
    | i1 = i_35
    | e_27 = e_36 ),
    inference(forward_demodulation,[],[f3768,f14]) ).

fof(f3768,plain,
    ( select(a_22,i2) = e_37
    | i1 = i_35
    | e_27 = e_36 ),
    inference(duplicate_literal_removal,[],[f3713]) ).

fof(f3713,plain,
    ( select(a_22,i2) = e_37
    | i1 = i_35
    | i1 = i_35
    | e_27 = e_36 ),
    inference(superposition,[],[f55,f3703]) ).

fof(f20,axiom,
    e_36 = select(a1,i_35),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).

fof(f3937,plain,
    ( e_19 != e_36
    | e_27 = e_36 ),
    inference(superposition,[],[f24,f3909]) ).

fof(f3909,plain,
    ( e_19 = e_37
    | e_27 = e_36 ),
    inference(forward_demodulation,[],[f3868,f12]) ).

fof(f12,axiom,
    e_19 = select(a2,i1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).

fof(f3868,plain,
    ( select(a2,i1) = e_37
    | e_27 = e_36 ),
    inference(superposition,[],[f21,f3863]) ).

fof(f4344,plain,
    ( select(a_20,i2) = e_36
    | i1 = i_35 ),
    inference(duplicate_literal_removal,[],[f4283]) ).

fof(f4283,plain,
    ( select(a_20,i2) = e_36
    | i1 = i_35
    | i1 = i_35 ),
    inference(superposition,[],[f51,f4276]) ).

fof(f4276,plain,
    ( i2 = i_35
    | i1 = i_35 ),
    inference(subsumption_resolution,[],[f4275,f3599]) ).

fof(f4275,plain,
    ( i1 = i_35
    | i2 = i3
    | i2 = i_35 ),
    inference(subsumption_resolution,[],[f4238,f3958]) ).

fof(f4238,plain,
    ( e_27 != e_36
    | i1 = i_35
    | i2 = i3
    | i2 = i_35 ),
    inference(superposition,[],[f24,f3623]) ).

fof(f3623,plain,
    ( e_27 = e_37
    | i1 = i_35
    | i2 = i3
    | i2 = i_35 ),
    inference(forward_demodulation,[],[f3605,f1]) ).

fof(f3605,plain,
    ( e_37 = select(store(store(a_22,i3,e_37),i3,e_27),i3)
    | i1 = i_35
    | i2 = i3
    | i2 = i_35 ),
    inference(duplicate_literal_removal,[],[f3588]) ).

fof(f3588,plain,
    ( e_37 = select(store(store(a_22,i3,e_37),i3,e_27),i3)
    | i1 = i_35
    | i2 = i3
    | i1 = i_35
    | i2 = i_35 ),
    inference(superposition,[],[f2300,f3560]) ).

fof(f2300,plain,
    ( e_37 = select(store(store(a_22,i3,e_37),i_35,e_27),i3)
    | i1 = i_35
    | i2 = i3 ),
    inference(superposition,[],[f962,f63]) ).

fof(f63,plain,
    ( e_27 = select(a_22,i3)
    | i2 = i3 ),
    inference(superposition,[],[f42,f16]) ).

fof(f962,plain,
    ! [X0] :
      ( e_37 = select(store(store(a_22,X0,e_37),i_35,select(a_22,X0)),X0)
      | i1 = i_35 ),
    inference(superposition,[],[f262,f55]) ).

fof(f262,plain,
    ! [X2,X0,X1] : select(X0,X1) = select(store(store(X0,X2,select(X0,X1)),X1,select(X0,X2)),X2),
    inference(superposition,[],[f1,f3]) ).

fof(f3,axiom,
    ! [X3,X0,X1] : store(store(X0,X1,select(X0,X3)),X3,select(X0,X1)) = store(store(X0,X3,select(X0,X1)),X1,select(X0,X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).

fof(f4478,plain,
    ( e_23 != e_27
    | i1 = i_35 ),
    inference(forward_demodulation,[],[f4442,f3958]) ).

fof(f4442,plain,
    ( e_23 != e_36
    | i1 = i_35 ),
    inference(superposition,[],[f24,f4351]) ).

fof(f4351,plain,
    ( e_23 = e_37
    | i1 = i_35 ),
    inference(forward_demodulation,[],[f4343,f14]) ).

fof(f4343,plain,
    ( select(a_22,i2) = e_37
    | i1 = i_35 ),
    inference(duplicate_literal_removal,[],[f4284]) ).

fof(f4284,plain,
    ( select(a_22,i2) = e_37
    | i1 = i_35
    | i1 = i_35 ),
    inference(superposition,[],[f55,f4276]) ).

fof(f1372,plain,
    e_36 = select(store(store(a1,i1,e_36),i_35,e_19),i1),
    inference(forward_demodulation,[],[f1362,f764]) ).

fof(f1362,plain,
    e_36 = select(store(store(a1,i1,e_36),i_35,e_21),i1),
    inference(superposition,[],[f961,f13]) ).

fof(f961,plain,
    ! [X0] : e_36 = select(store(store(a1,X0,e_36),i_35,select(a1,X0)),X0),
    inference(superposition,[],[f262,f20]) ).

fof(f4639,plain,
    e_19 != e_36,
    inference(superposition,[],[f24,f4530]) ).

fof(f4530,plain,
    e_19 = e_37,
    inference(forward_demodulation,[],[f4486,f12]) ).

fof(f4486,plain,
    select(a2,i1) = e_37,
    inference(superposition,[],[f21,f4479]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWV565-1.004 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n011.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 04:46:46 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.37  % (31123)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39  % (31124)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  % (31126)WARNING: value z3 for option sas not known
% 0.15/0.40  % (31128)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.40  % (31125)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.40  % (31126)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.40  % (31127)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.40  % (31129)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.40  % (31130)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.40  TRYING [1]
% 0.23/0.40  TRYING [2]
% 0.23/0.41  TRYING [3]
% 0.23/0.41  TRYING [3]
% 0.23/0.43  TRYING [4]
% 0.23/0.45  TRYING [4]
% 0.23/0.50  TRYING [5]
% 0.23/0.53  % (31130)First to succeed.
% 0.23/0.53  % (31130)Refutation found. Thanks to Tanya!
% 0.23/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.53  % (31130)------------------------------
% 0.23/0.53  % (31130)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.23/0.53  % (31130)Termination reason: Refutation
% 0.23/0.53  
% 0.23/0.53  % (31130)Memory used [KB]: 2106
% 0.23/0.53  % (31130)Time elapsed: 0.134 s
% 0.23/0.53  % (31130)Instructions burned: 235 (million)
% 0.23/0.53  % (31130)------------------------------
% 0.23/0.53  % (31130)------------------------------
% 0.23/0.53  % (31123)Success in time 0.162 s
%------------------------------------------------------------------------------