TSTP Solution File: SWV567-1.014 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV567-1.014 : 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 : n031.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 17:02:24 EDT 2024

% Result   : Unsatisfiable 6.39s 1.74s
% Output   : Refutation 6.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   47
%            Number of leaves      :   76
% Syntax   : Number of formulae    :  255 ( 239 unt;   0 def)
%            Number of atoms       :  271 ( 270 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  136 ( 120   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :   15 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   65 (  65 usr;  62 con; 0-3 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12589,plain,
    $false,
    inference(subsumption_resolution,[],[f12588,f706]) ).

fof(f706,axiom,
    elem_41 != elem_43,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

fof(f12588,plain,
    elem_41 = elem_43,
    inference(forward_demodulation,[],[f12563,f686]) ).

fof(f686,axiom,
    elem_41 = s(elem_38),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp53) ).

fof(f12563,plain,
    s(elem_38) = elem_43,
    inference(superposition,[],[f688,f12557]) ).

fof(f12557,plain,
    elem_38 = elem_44,
    inference(forward_demodulation,[],[f12546,f683]) ).

fof(f683,axiom,
    elem_38 = s(elem_35),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp50) ).

fof(f12546,plain,
    elem_44 = s(elem_35),
    inference(superposition,[],[f689,f12538]) ).

fof(f12538,plain,
    elem_35 = elem_46,
    inference(forward_demodulation,[],[f12527,f681]) ).

fof(f681,axiom,
    elem_35 = s(elem_32),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp48) ).

fof(f12527,plain,
    elem_46 = s(elem_32),
    inference(superposition,[],[f690,f12517]) ).

fof(f12517,plain,
    elem_32 = elem_48,
    inference(forward_demodulation,[],[f12506,f679]) ).

fof(f679,axiom,
    elem_32 = s(elem_29),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp46) ).

fof(f12506,plain,
    elem_48 = s(elem_29),
    inference(superposition,[],[f692,f12494]) ).

fof(f12494,plain,
    elem_29 = elem_50,
    inference(forward_demodulation,[],[f12483,f677]) ).

fof(f677,axiom,
    elem_29 = s(elem_26),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp44) ).

fof(f12483,plain,
    elem_50 = s(elem_26),
    inference(superposition,[],[f693,f12469]) ).

fof(f12469,plain,
    elem_26 = elem_52,
    inference(forward_demodulation,[],[f12458,f675]) ).

fof(f675,axiom,
    elem_26 = s(elem_23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp42) ).

fof(f12458,plain,
    elem_52 = s(elem_23),
    inference(superposition,[],[f694,f12442]) ).

fof(f12442,plain,
    elem_23 = elem_54,
    inference(forward_demodulation,[],[f12431,f673]) ).

fof(f673,axiom,
    elem_23 = s(elem_20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp40) ).

fof(f12431,plain,
    elem_54 = s(elem_20),
    inference(superposition,[],[f695,f12413]) ).

fof(f12413,plain,
    elem_20 = elem_56,
    inference(forward_demodulation,[],[f12402,f671]) ).

fof(f671,axiom,
    elem_20 = s(elem_17),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp38) ).

fof(f12402,plain,
    elem_56 = s(elem_17),
    inference(superposition,[],[f696,f12382]) ).

fof(f12382,plain,
    elem_17 = elem_58,
    inference(forward_demodulation,[],[f12370,f668]) ).

fof(f668,axiom,
    elem_17 = s(elem_14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp35) ).

fof(f12370,plain,
    elem_58 = s(elem_14),
    inference(superposition,[],[f697,f11817]) ).

fof(f11817,plain,
    elem_14 = elem_60,
    inference(forward_demodulation,[],[f11804,f666]) ).

fof(f666,axiom,
    elem_14 = s(elem_11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp33) ).

fof(f11804,plain,
    elem_60 = s(elem_11),
    inference(superposition,[],[f698,f11657]) ).

fof(f11657,plain,
    elem_11 = elem_62,
    inference(superposition,[],[f11601,f699]) ).

fof(f699,axiom,
    elem_62 = s(elem_64),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp66) ).

fof(f11601,plain,
    elem_11 = s(elem_64),
    inference(superposition,[],[f664,f11449]) ).

fof(f11449,plain,
    elem_64 = elem_8,
    inference(superposition,[],[f11407,f704]) ).

fof(f704,axiom,
    elem_8 = s(elem_5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp71) ).

fof(f11407,plain,
    elem_64 = s(elem_5),
    inference(superposition,[],[f700,f11379]) ).

fof(f11379,plain,
    elem_5 = elem_66,
    inference(forward_demodulation,[],[f11366,f691]) ).

fof(f691,axiom,
    elem_5 = s(elem_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp58) ).

fof(f11366,plain,
    elem_66 = s(elem_2),
    inference(superposition,[],[f701,f11203]) ).

fof(f11203,plain,
    elem_2 = elem_68,
    inference(superposition,[],[f10673,f703]) ).

fof(f703,axiom,
    elem_68 = s(elem_70),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp70) ).

fof(f10673,plain,
    elem_2 = s(elem_70),
    inference(superposition,[],[f670,f10667]) ).

fof(f10667,plain,
    elem_70 = elem_1,
    inference(forward_demodulation,[],[f10663,f7349]) ).

fof(f7349,plain,
    elem_70 = select(earray_12,i),
    inference(forward_demodulation,[],[f7348,f1112]) ).

fof(f1112,plain,
    elem_70 = select(earray_42,i),
    inference(superposition,[],[f1,f707]) ).

fof(f707,plain,
    earray_42 = store(earray_69,i,elem_70),
    inference(forward_demodulation,[],[f659,f705]) ).

fof(f705,axiom,
    earray_42 = earray_71,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp72) ).

fof(f659,axiom,
    earray_71 = store(earray_69,i,elem_70),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp26) ).

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

fof(f7348,plain,
    select(earray_42,i) = select(earray_12,i),
    inference(forward_demodulation,[],[f7294,f7251]) ).

fof(f7251,plain,
    select(earray_12,i) = select(earray_39,i),
    inference(forward_demodulation,[],[f7180,f6666]) ).

fof(f6666,plain,
    select(earray_12,i) = select(earray_36,i),
    inference(forward_demodulation,[],[f6595,f6537]) ).

fof(f6537,plain,
    select(earray_12,i) = select(earray_33,i),
    inference(forward_demodulation,[],[f6447,f5165]) ).

fof(f5165,plain,
    select(earray_12,i) = select(earray_30,i),
    inference(forward_demodulation,[],[f5085,f4591]) ).

fof(f4591,plain,
    select(earray_12,i) = select(earray_27,i),
    inference(forward_demodulation,[],[f4519,f4440]) ).

fof(f4440,plain,
    select(earray_12,i) = select(earray_24,i),
    inference(forward_demodulation,[],[f4363,f3874]) ).

fof(f3874,plain,
    select(earray_12,i) = select(earray_21,i),
    inference(forward_demodulation,[],[f3806,f3728]) ).

fof(f3728,plain,
    select(earray_12,i) = select(earray_18,i),
    inference(forward_demodulation,[],[f3660,f3486]) ).

fof(f3486,plain,
    select(earray_12,i) = select(earray_15,i),
    inference(unit_resulting_resolution,[],[f1280,f3234]) ).

fof(f3234,plain,
    ! [X0] :
      ( select(earray_12,X0) = select(earray_15,X0)
      | elem_13 = X0 ),
    inference(superposition,[],[f2,f634]) ).

fof(f634,axiom,
    earray_15 = store(earray_12,elem_13,elem_14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).

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(f1280,plain,
    elem_13 != i,
    inference(forward_demodulation,[],[f1279,f665]) ).

fof(f665,axiom,
    elem_13 = s(elem_10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp32) ).

fof(f1279,plain,
    i != s(elem_10),
    inference(forward_demodulation,[],[f1278,f663]) ).

fof(f663,axiom,
    elem_10 = s(elem_7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp30) ).

fof(f1278,plain,
    i != s(s(elem_7)),
    inference(forward_demodulation,[],[f1277,f702]) ).

fof(f702,axiom,
    elem_7 = s(elem_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp69) ).

fof(f1277,plain,
    i != s(s(s(elem_4))),
    inference(forward_demodulation,[],[f1164,f684]) ).

fof(f684,axiom,
    elem_4 = s(elem_0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp51) ).

fof(f1164,plain,
    i != s(s(s(s(elem_0)))),
    inference(superposition,[],[f628,f661]) ).

fof(f661,axiom,
    elem_0 = s(i),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp28) ).

fof(f628,axiom,
    ! [X4] : s(s(s(s(s(X4))))) != X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as5) ).

fof(f3660,plain,
    select(earray_15,i) = select(earray_18,i),
    inference(unit_resulting_resolution,[],[f1486,f3236]) ).

fof(f3236,plain,
    ! [X0] :
      ( select(earray_15,X0) = select(earray_18,X0)
      | elem_16 = X0 ),
    inference(superposition,[],[f2,f635]) ).

fof(f635,axiom,
    earray_18 = store(earray_15,elem_16,elem_17),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).

fof(f1486,plain,
    elem_16 != i,
    inference(forward_demodulation,[],[f1485,f667]) ).

fof(f667,axiom,
    elem_16 = s(elem_13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp34) ).

fof(f1485,plain,
    i != s(elem_13),
    inference(forward_demodulation,[],[f1484,f665]) ).

fof(f1484,plain,
    i != s(s(elem_10)),
    inference(forward_demodulation,[],[f1483,f663]) ).

fof(f1483,plain,
    i != s(s(s(elem_7))),
    inference(forward_demodulation,[],[f1482,f702]) ).

fof(f1482,plain,
    i != s(s(s(s(elem_4)))),
    inference(forward_demodulation,[],[f1344,f684]) ).

fof(f1344,plain,
    i != s(s(s(s(s(elem_0))))),
    inference(superposition,[],[f627,f661]) ).

fof(f627,axiom,
    ! [X4] : s(s(s(s(s(s(X4)))))) != X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as6) ).

fof(f3806,plain,
    select(earray_18,i) = select(earray_21,i),
    inference(unit_resulting_resolution,[],[f1705,f3237]) ).

fof(f3237,plain,
    ! [X0] :
      ( select(earray_18,X0) = select(earray_21,X0)
      | elem_19 = X0 ),
    inference(superposition,[],[f2,f636]) ).

fof(f636,axiom,
    earray_21 = store(earray_18,elem_19,elem_20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).

fof(f1705,plain,
    elem_19 != i,
    inference(forward_demodulation,[],[f1704,f669]) ).

fof(f669,axiom,
    elem_19 = s(elem_16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp36) ).

fof(f1704,plain,
    i != s(elem_16),
    inference(forward_demodulation,[],[f1703,f667]) ).

fof(f1703,plain,
    i != s(s(elem_13)),
    inference(forward_demodulation,[],[f1702,f665]) ).

fof(f1702,plain,
    i != s(s(s(elem_10))),
    inference(forward_demodulation,[],[f1701,f663]) ).

fof(f1701,plain,
    i != s(s(s(s(elem_7)))),
    inference(forward_demodulation,[],[f1700,f702]) ).

fof(f1700,plain,
    i != s(s(s(s(s(elem_4))))),
    inference(forward_demodulation,[],[f1540,f684]) ).

fof(f1540,plain,
    i != s(s(s(s(s(s(elem_0)))))),
    inference(superposition,[],[f626,f661]) ).

fof(f626,axiom,
    ! [X4] : s(s(s(s(s(s(s(X4))))))) != X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as7) ).

fof(f4363,plain,
    select(earray_21,i) = select(earray_24,i),
    inference(unit_resulting_resolution,[],[f1965,f3238]) ).

fof(f3238,plain,
    ! [X0] :
      ( select(earray_21,X0) = select(earray_24,X0)
      | elem_22 = X0 ),
    inference(superposition,[],[f2,f637]) ).

fof(f637,axiom,
    earray_24 = store(earray_21,elem_22,elem_23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).

fof(f1965,plain,
    elem_22 != i,
    inference(forward_demodulation,[],[f1964,f672]) ).

fof(f672,axiom,
    elem_22 = s(elem_19),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp39) ).

fof(f1964,plain,
    i != s(elem_19),
    inference(forward_demodulation,[],[f1963,f669]) ).

fof(f1963,plain,
    i != s(s(elem_16)),
    inference(forward_demodulation,[],[f1962,f667]) ).

fof(f1962,plain,
    i != s(s(s(elem_13))),
    inference(forward_demodulation,[],[f1961,f665]) ).

fof(f1961,plain,
    i != s(s(s(s(elem_10)))),
    inference(forward_demodulation,[],[f1960,f663]) ).

fof(f1960,plain,
    i != s(s(s(s(s(elem_7))))),
    inference(forward_demodulation,[],[f1959,f702]) ).

fof(f1959,plain,
    i != s(s(s(s(s(s(elem_4)))))),
    inference(forward_demodulation,[],[f1780,f684]) ).

fof(f1780,plain,
    i != s(s(s(s(s(s(s(elem_0))))))),
    inference(superposition,[],[f625,f661]) ).

fof(f625,axiom,
    ! [X4] : s(s(s(s(s(s(s(s(X4)))))))) != X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as8) ).

fof(f4519,plain,
    select(earray_24,i) = select(earray_27,i),
    inference(unit_resulting_resolution,[],[f2234,f3239]) ).

fof(f3239,plain,
    ! [X0] :
      ( select(earray_24,X0) = select(earray_27,X0)
      | elem_25 = X0 ),
    inference(superposition,[],[f2,f638]) ).

fof(f638,axiom,
    earray_27 = store(earray_24,elem_25,elem_26),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).

fof(f2234,plain,
    elem_25 != i,
    inference(forward_demodulation,[],[f2233,f674]) ).

fof(f674,axiom,
    elem_25 = s(elem_22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp41) ).

fof(f2233,plain,
    i != s(elem_22),
    inference(forward_demodulation,[],[f2232,f672]) ).

fof(f2232,plain,
    i != s(s(elem_19)),
    inference(forward_demodulation,[],[f2231,f669]) ).

fof(f2231,plain,
    i != s(s(s(elem_16))),
    inference(forward_demodulation,[],[f2230,f667]) ).

fof(f2230,plain,
    i != s(s(s(s(elem_13)))),
    inference(forward_demodulation,[],[f2229,f665]) ).

fof(f2229,plain,
    i != s(s(s(s(s(elem_10))))),
    inference(forward_demodulation,[],[f2228,f663]) ).

fof(f2228,plain,
    i != s(s(s(s(s(s(elem_7)))))),
    inference(forward_demodulation,[],[f2227,f702]) ).

fof(f2227,plain,
    i != s(s(s(s(s(s(s(elem_4))))))),
    inference(forward_demodulation,[],[f2034,f684]) ).

fof(f2034,plain,
    i != s(s(s(s(s(s(s(s(elem_0)))))))),
    inference(superposition,[],[f624,f661]) ).

fof(f624,axiom,
    ! [X4] : s(s(s(s(s(s(s(s(s(X4))))))))) != X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as9) ).

fof(f5085,plain,
    select(earray_27,i) = select(earray_30,i),
    inference(unit_resulting_resolution,[],[f4218,f3240]) ).

fof(f3240,plain,
    ! [X0] :
      ( select(earray_27,X0) = select(earray_30,X0)
      | elem_28 = X0 ),
    inference(superposition,[],[f2,f640]) ).

fof(f640,axiom,
    earray_30 = store(earray_27,elem_28,elem_29),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).

fof(f4218,plain,
    elem_28 != i,
    inference(forward_demodulation,[],[f4217,f676]) ).

fof(f676,axiom,
    elem_28 = s(elem_25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp43) ).

fof(f4217,plain,
    i != s(elem_25),
    inference(forward_demodulation,[],[f4216,f674]) ).

fof(f4216,plain,
    i != s(s(elem_22)),
    inference(forward_demodulation,[],[f4215,f672]) ).

fof(f4215,plain,
    i != s(s(s(elem_19))),
    inference(forward_demodulation,[],[f4214,f669]) ).

fof(f4214,plain,
    i != s(s(s(s(elem_16)))),
    inference(forward_demodulation,[],[f4213,f667]) ).

fof(f4213,plain,
    i != s(s(s(s(s(elem_13))))),
    inference(forward_demodulation,[],[f4212,f665]) ).

fof(f4212,plain,
    i != s(s(s(s(s(s(elem_10)))))),
    inference(forward_demodulation,[],[f4211,f663]) ).

fof(f4211,plain,
    i != s(s(s(s(s(s(s(elem_7))))))),
    inference(forward_demodulation,[],[f4210,f702]) ).

fof(f4210,plain,
    i != s(s(s(s(s(s(s(s(elem_4)))))))),
    inference(forward_demodulation,[],[f3970,f684]) ).

fof(f3970,plain,
    i != s(s(s(s(s(s(s(s(s(elem_0))))))))),
    inference(superposition,[],[f623,f661]) ).

fof(f623,axiom,
    ! [X4] : s(s(s(s(s(s(s(s(s(s(X4)))))))))) != X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as10) ).

fof(f6447,plain,
    select(earray_30,i) = select(earray_33,i),
    inference(unit_resulting_resolution,[],[f4936,f3244]) ).

fof(f3244,plain,
    ! [X0] :
      ( select(earray_30,X0) = select(earray_33,X0)
      | elem_31 = X0 ),
    inference(superposition,[],[f2,f641]) ).

fof(f641,axiom,
    earray_33 = store(earray_30,elem_31,elem_32),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).

fof(f4936,plain,
    elem_31 != i,
    inference(forward_demodulation,[],[f4935,f678]) ).

fof(f678,axiom,
    elem_31 = s(elem_28),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp45) ).

fof(f4935,plain,
    i != s(elem_28),
    inference(forward_demodulation,[],[f4934,f676]) ).

fof(f4934,plain,
    i != s(s(elem_25)),
    inference(forward_demodulation,[],[f4933,f674]) ).

fof(f4933,plain,
    i != s(s(s(elem_22))),
    inference(forward_demodulation,[],[f4932,f672]) ).

fof(f4932,plain,
    i != s(s(s(s(elem_19)))),
    inference(forward_demodulation,[],[f4931,f669]) ).

fof(f4931,plain,
    i != s(s(s(s(s(elem_16))))),
    inference(forward_demodulation,[],[f4930,f667]) ).

fof(f4930,plain,
    i != s(s(s(s(s(s(elem_13)))))),
    inference(forward_demodulation,[],[f4929,f665]) ).

fof(f4929,plain,
    i != s(s(s(s(s(s(s(elem_10))))))),
    inference(forward_demodulation,[],[f4928,f663]) ).

fof(f4928,plain,
    i != s(s(s(s(s(s(s(s(elem_7)))))))),
    inference(forward_demodulation,[],[f4927,f702]) ).

fof(f4927,plain,
    i != s(s(s(s(s(s(s(s(s(elem_4))))))))),
    inference(forward_demodulation,[],[f4666,f684]) ).

fof(f4666,plain,
    i != s(s(s(s(s(s(s(s(s(s(elem_0)))))))))),
    inference(superposition,[],[f622,f661]) ).

fof(f622,axiom,
    ! [X4] : s(s(s(s(s(s(s(s(s(s(s(X4))))))))))) != X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as11) ).

fof(f6595,plain,
    select(earray_33,i) = select(earray_36,i),
    inference(unit_resulting_resolution,[],[f5650,f3245]) ).

fof(f3245,plain,
    ! [X0] :
      ( select(earray_33,X0) = select(earray_36,X0)
      | elem_34 = X0 ),
    inference(superposition,[],[f2,f642]) ).

fof(f642,axiom,
    earray_36 = store(earray_33,elem_34,elem_35),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).

fof(f5650,plain,
    elem_34 != i,
    inference(forward_demodulation,[],[f5649,f680]) ).

fof(f680,axiom,
    elem_34 = s(elem_31),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp47) ).

fof(f5649,plain,
    i != s(elem_31),
    inference(forward_demodulation,[],[f5648,f678]) ).

fof(f5648,plain,
    i != s(s(elem_28)),
    inference(forward_demodulation,[],[f5647,f676]) ).

fof(f5647,plain,
    i != s(s(s(elem_25))),
    inference(forward_demodulation,[],[f5646,f674]) ).

fof(f5646,plain,
    i != s(s(s(s(elem_22)))),
    inference(forward_demodulation,[],[f5645,f672]) ).

fof(f5645,plain,
    i != s(s(s(s(s(elem_19))))),
    inference(forward_demodulation,[],[f5644,f669]) ).

fof(f5644,plain,
    i != s(s(s(s(s(s(elem_16)))))),
    inference(forward_demodulation,[],[f5643,f667]) ).

fof(f5643,plain,
    i != s(s(s(s(s(s(s(elem_13))))))),
    inference(forward_demodulation,[],[f5642,f665]) ).

fof(f5642,plain,
    i != s(s(s(s(s(s(s(s(elem_10)))))))),
    inference(forward_demodulation,[],[f5641,f663]) ).

fof(f5641,plain,
    i != s(s(s(s(s(s(s(s(s(elem_7))))))))),
    inference(forward_demodulation,[],[f5640,f702]) ).

fof(f5640,plain,
    i != s(s(s(s(s(s(s(s(s(s(elem_4)))))))))),
    inference(forward_demodulation,[],[f5357,f684]) ).

fof(f5357,plain,
    i != s(s(s(s(s(s(s(s(s(s(s(elem_0))))))))))),
    inference(superposition,[],[f621,f661]) ).

fof(f621,axiom,
    ! [X4] : s(s(s(s(s(s(s(s(s(s(s(s(X4)))))))))))) != X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as12) ).

fof(f7180,plain,
    select(earray_36,i) = select(earray_39,i),
    inference(unit_resulting_resolution,[],[f6307,f3246]) ).

fof(f3246,plain,
    ! [X0] :
      ( select(earray_36,X0) = select(earray_39,X0)
      | elem_37 = X0 ),
    inference(superposition,[],[f2,f643]) ).

fof(f643,axiom,
    earray_39 = store(earray_36,elem_37,elem_38),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).

fof(f6307,plain,
    elem_37 != i,
    inference(forward_demodulation,[],[f6306,f682]) ).

fof(f682,axiom,
    elem_37 = s(elem_34),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp49) ).

fof(f6306,plain,
    i != s(elem_34),
    inference(forward_demodulation,[],[f6305,f680]) ).

fof(f6305,plain,
    i != s(s(elem_31)),
    inference(forward_demodulation,[],[f6304,f678]) ).

fof(f6304,plain,
    i != s(s(s(elem_28))),
    inference(forward_demodulation,[],[f6303,f676]) ).

fof(f6303,plain,
    i != s(s(s(s(elem_25)))),
    inference(forward_demodulation,[],[f6302,f674]) ).

fof(f6302,plain,
    i != s(s(s(s(s(elem_22))))),
    inference(forward_demodulation,[],[f6301,f672]) ).

fof(f6301,plain,
    i != s(s(s(s(s(s(elem_19)))))),
    inference(forward_demodulation,[],[f6300,f669]) ).

fof(f6300,plain,
    i != s(s(s(s(s(s(s(elem_16))))))),
    inference(forward_demodulation,[],[f6299,f667]) ).

fof(f6299,plain,
    i != s(s(s(s(s(s(s(s(elem_13)))))))),
    inference(forward_demodulation,[],[f6298,f665]) ).

fof(f6298,plain,
    i != s(s(s(s(s(s(s(s(s(elem_10))))))))),
    inference(forward_demodulation,[],[f6297,f663]) ).

fof(f6297,plain,
    i != s(s(s(s(s(s(s(s(s(s(elem_7)))))))))),
    inference(forward_demodulation,[],[f6296,f702]) ).

fof(f6296,plain,
    i != s(s(s(s(s(s(s(s(s(s(s(elem_4))))))))))),
    inference(forward_demodulation,[],[f5995,f684]) ).

fof(f5995,plain,
    i != s(s(s(s(s(s(s(s(s(s(s(s(elem_0)))))))))))),
    inference(superposition,[],[f620,f661]) ).

fof(f620,axiom,
    ! [X4] : s(s(s(s(s(s(s(s(s(s(s(s(s(X4))))))))))))) != X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as13) ).

fof(f7294,plain,
    select(earray_42,i) = select(earray_39,i),
    inference(unit_resulting_resolution,[],[f7070,f3247]) ).

fof(f3247,plain,
    ! [X0] :
      ( select(earray_39,X0) = select(earray_42,X0)
      | elem_40 = X0 ),
    inference(superposition,[],[f2,f644]) ).

fof(f644,axiom,
    earray_42 = store(earray_39,elem_40,elem_41),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).

fof(f7070,plain,
    elem_40 != i,
    inference(forward_demodulation,[],[f7069,f685]) ).

fof(f685,axiom,
    elem_40 = s(elem_37),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp52) ).

fof(f7069,plain,
    i != s(elem_37),
    inference(forward_demodulation,[],[f7068,f682]) ).

fof(f7068,plain,
    i != s(s(elem_34)),
    inference(forward_demodulation,[],[f7067,f680]) ).

fof(f7067,plain,
    i != s(s(s(elem_31))),
    inference(forward_demodulation,[],[f7066,f678]) ).

fof(f7066,plain,
    i != s(s(s(s(elem_28)))),
    inference(forward_demodulation,[],[f7065,f676]) ).

fof(f7065,plain,
    i != s(s(s(s(s(elem_25))))),
    inference(forward_demodulation,[],[f7064,f674]) ).

fof(f7064,plain,
    i != s(s(s(s(s(s(elem_22)))))),
    inference(forward_demodulation,[],[f7063,f672]) ).

fof(f7063,plain,
    i != s(s(s(s(s(s(s(elem_19))))))),
    inference(forward_demodulation,[],[f7062,f669]) ).

fof(f7062,plain,
    i != s(s(s(s(s(s(s(s(elem_16)))))))),
    inference(forward_demodulation,[],[f7061,f667]) ).

fof(f7061,plain,
    i != s(s(s(s(s(s(s(s(s(elem_13))))))))),
    inference(forward_demodulation,[],[f7060,f665]) ).

fof(f7060,plain,
    i != s(s(s(s(s(s(s(s(s(s(elem_10)))))))))),
    inference(forward_demodulation,[],[f7059,f663]) ).

fof(f7059,plain,
    i != s(s(s(s(s(s(s(s(s(s(s(elem_7))))))))))),
    inference(forward_demodulation,[],[f7058,f702]) ).

fof(f7058,plain,
    i != s(s(s(s(s(s(s(s(s(s(s(s(elem_4)))))))))))),
    inference(forward_demodulation,[],[f6750,f684]) ).

fof(f6750,plain,
    i != s(s(s(s(s(s(s(s(s(s(s(s(s(elem_0))))))))))))),
    inference(superposition,[],[f619,f661]) ).

fof(f619,axiom,
    ! [X4] : s(s(s(s(s(s(s(s(s(s(s(s(s(s(X4)))))))))))))) != X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as14) ).

fof(f10663,plain,
    elem_1 = select(earray_12,i),
    inference(superposition,[],[f10619,f3575]) ).

fof(f3575,plain,
    select(earray_12,i) = select(earray_9,i),
    inference(unit_resulting_resolution,[],[f1056,f3235]) ).

fof(f3235,plain,
    ! [X0] :
      ( select(earray_12,X0) = select(earray_9,X0)
      | elem_10 = X0 ),
    inference(superposition,[],[f2,f633]) ).

fof(f633,axiom,
    earray_12 = store(earray_9,elem_10,elem_11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).

fof(f1056,plain,
    elem_10 != i,
    inference(forward_demodulation,[],[f1055,f663]) ).

fof(f1055,plain,
    i != s(elem_7),
    inference(forward_demodulation,[],[f1054,f702]) ).

fof(f1054,plain,
    i != s(s(elem_4)),
    inference(forward_demodulation,[],[f969,f684]) ).

fof(f969,plain,
    i != s(s(s(elem_0))),
    inference(superposition,[],[f629,f661]) ).

fof(f629,axiom,
    ! [X4] : s(s(s(s(X4)))) != X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as4) ).

fof(f10619,plain,
    elem_1 = select(earray_9,i),
    inference(forward_demodulation,[],[f10618,f5870]) ).

fof(f5870,plain,
    elem_1 = select(earray_3,i),
    inference(forward_demodulation,[],[f5769,f662]) ).

fof(f662,axiom,
    elem_1 = select(a,i),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp29) ).

fof(f5769,plain,
    select(a,i) = select(earray_3,i),
    inference(unit_resulting_resolution,[],[f746,f3242]) ).

fof(f3242,plain,
    ! [X0] :
      ( select(earray_3,X0) = select(a,X0)
      | elem_0 = X0 ),
    inference(superposition,[],[f2,f639]) ).

fof(f639,axiom,
    earray_3 = store(a,elem_0,elem_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).

fof(f746,plain,
    elem_0 != i,
    inference(superposition,[],[f632,f661]) ).

fof(f632,axiom,
    ! [X4] : s(X4) != X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as1) ).

fof(f10618,plain,
    select(earray_9,i) = select(earray_3,i),
    inference(subsumption_resolution,[],[f10407,f924]) ).

fof(f924,plain,
    elem_7 != i,
    inference(forward_demodulation,[],[f923,f702]) ).

fof(f923,plain,
    i != s(elem_4),
    inference(forward_demodulation,[],[f869,f684]) ).

fof(f869,plain,
    i != s(s(elem_0)),
    inference(superposition,[],[f630,f661]) ).

fof(f630,axiom,
    ! [X4] : s(s(s(X4))) != X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as3) ).

fof(f10407,plain,
    ( select(earray_9,i) = select(earray_3,i)
    | elem_7 = i ),
    inference(superposition,[],[f3256,f5215]) ).

fof(f5215,plain,
    select(earray_3,i) = select(earray_6,i),
    inference(unit_resulting_resolution,[],[f806,f3241]) ).

fof(f3241,plain,
    ! [X0] :
      ( select(earray_3,X0) = select(earray_6,X0)
      | elem_4 = X0 ),
    inference(superposition,[],[f2,f653]) ).

fof(f653,axiom,
    earray_6 = store(earray_3,elem_4,elem_5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).

fof(f806,plain,
    elem_4 != i,
    inference(forward_demodulation,[],[f788,f684]) ).

fof(f788,plain,
    i != s(elem_0),
    inference(superposition,[],[f631,f661]) ).

fof(f631,axiom,
    ! [X4] : s(s(X4)) != X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as2) ).

fof(f3256,plain,
    ! [X0] :
      ( select(earray_9,X0) = select(earray_6,X0)
      | elem_7 = X0 ),
    inference(superposition,[],[f2,f660]) ).

fof(f660,axiom,
    earray_9 = store(earray_6,elem_7,elem_8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp27) ).

fof(f670,axiom,
    elem_2 = s(elem_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp37) ).

fof(f701,axiom,
    elem_66 = s(elem_68),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp68) ).

fof(f700,axiom,
    elem_64 = s(elem_66),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp67) ).

fof(f664,axiom,
    elem_11 = s(elem_8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp31) ).

fof(f698,axiom,
    elem_60 = s(elem_62),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp65) ).

fof(f697,axiom,
    elem_58 = s(elem_60),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp64) ).

fof(f696,axiom,
    elem_56 = s(elem_58),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp63) ).

fof(f695,axiom,
    elem_54 = s(elem_56),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp62) ).

fof(f694,axiom,
    elem_52 = s(elem_54),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp61) ).

fof(f693,axiom,
    elem_50 = s(elem_52),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp60) ).

fof(f692,axiom,
    elem_48 = s(elem_50),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp59) ).

fof(f690,axiom,
    elem_46 = s(elem_48),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp57) ).

fof(f689,axiom,
    elem_44 = s(elem_46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp56) ).

fof(f688,axiom,
    elem_43 = s(elem_44),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp55) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV567-1.014 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n031.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 05:33:29 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (19950)Running in auto input_syntax mode. Trying TPTP
% 0.68/0.92  % (20038)WARNING: value z3 for option sas not known
% 0.68/0.92  % (20036)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.68/0.92  % (20042)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)
% 0.76/0.92  % (20037)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.76/0.92  % (20039)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.76/0.92  % (20038)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)
% 0.76/0.92  % (20041)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)
% 0.76/0.93  % (20040)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)
% 6.39/1.74  % (20042)First to succeed.
% 6.39/1.74  % (20042)Refutation found. Thanks to Tanya!
% 6.39/1.74  % SZS status Unsatisfiable for theBenchmark
% 6.39/1.74  % SZS output start Proof for theBenchmark
% See solution above
% 6.39/1.74  % (20042)------------------------------
% 6.39/1.74  % (20042)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 6.39/1.74  % (20042)Termination reason: Refutation
% 6.39/1.74  
% 6.39/1.74  % (20042)Memory used [KB]: 5155
% 6.39/1.74  % (20042)Time elapsed: 0.817 s
% 6.39/1.74  % (20042)Instructions burned: 4654 (million)
% 6.39/1.74  % (20042)------------------------------
% 6.39/1.74  % (20042)------------------------------
% 6.39/1.74  % (19950)Success in time 1.376 s
%------------------------------------------------------------------------------