TSTP Solution File: SWV567-1.015 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV567-1.015 : 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 : n009.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 14.62s 2.98s
% Output   : Refutation 14.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   50
%            Number of leaves      :   81
% Syntax   : Number of formulae    :  280 ( 263 unt;   0 def)
%            Number of atoms       :  297 ( 296 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  153 ( 136   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :   16 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   69 (  69 usr;  66 con; 0-3 aty)
%            Number of variables   :   37 (  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14586,plain,
    $false,
    inference(subsumption_resolution,[],[f14585,f801]) ).

fof(f801,axiom,
    elem_44 != elem_46,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

fof(f14585,plain,
    elem_44 = elem_46,
    inference(forward_demodulation,[],[f14558,f780]) ).

fof(f780,axiom,
    elem_44 = s(elem_41),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp57) ).

fof(f14558,plain,
    s(elem_41) = elem_46,
    inference(superposition,[],[f782,f14552]) ).

fof(f14552,plain,
    elem_41 = elem_47,
    inference(forward_demodulation,[],[f14540,f778]) ).

fof(f778,axiom,
    elem_41 = s(elem_38),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp55) ).

fof(f14540,plain,
    elem_47 = s(elem_38),
    inference(superposition,[],[f783,f14532]) ).

fof(f14532,plain,
    elem_38 = elem_49,
    inference(forward_demodulation,[],[f14520,f775]) ).

fof(f775,axiom,
    elem_38 = s(elem_35),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp52) ).

fof(f14520,plain,
    elem_49 = s(elem_35),
    inference(superposition,[],[f785,f14510]) ).

fof(f14510,plain,
    elem_35 = elem_51,
    inference(forward_demodulation,[],[f14498,f773]) ).

fof(f773,axiom,
    elem_35 = s(elem_32),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp50) ).

fof(f14498,plain,
    elem_51 = s(elem_32),
    inference(superposition,[],[f786,f14486]) ).

fof(f14486,plain,
    elem_32 = elem_53,
    inference(forward_demodulation,[],[f14474,f771]) ).

fof(f771,axiom,
    elem_32 = s(elem_29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp48) ).

fof(f14474,plain,
    elem_53 = s(elem_29),
    inference(superposition,[],[f787,f14460]) ).

fof(f14460,plain,
    elem_29 = elem_55,
    inference(forward_demodulation,[],[f14448,f769]) ).

fof(f769,axiom,
    elem_29 = s(elem_26),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp46) ).

fof(f14448,plain,
    elem_55 = s(elem_26),
    inference(superposition,[],[f788,f14432]) ).

fof(f14432,plain,
    elem_26 = elem_57,
    inference(forward_demodulation,[],[f14419,f767]) ).

fof(f767,axiom,
    elem_26 = s(elem_23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp44) ).

fof(f14419,plain,
    elem_57 = s(elem_23),
    inference(superposition,[],[f789,f14400]) ).

fof(f14400,plain,
    elem_23 = elem_59,
    inference(forward_demodulation,[],[f14386,f765]) ).

fof(f765,axiom,
    elem_23 = s(elem_20),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp42) ).

fof(f14386,plain,
    elem_59 = s(elem_20),
    inference(superposition,[],[f790,f13791]) ).

fof(f13791,plain,
    elem_20 = elem_61,
    inference(forward_demodulation,[],[f13777,f763]) ).

fof(f763,axiom,
    elem_20 = s(elem_17),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp40) ).

fof(f13777,plain,
    elem_61 = s(elem_17),
    inference(superposition,[],[f791,f13754]) ).

fof(f13754,plain,
    elem_17 = elem_63,
    inference(forward_demodulation,[],[f13740,f760]) ).

fof(f760,axiom,
    elem_17 = s(elem_14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp37) ).

fof(f13740,plain,
    elem_63 = s(elem_14),
    inference(superposition,[],[f792,f13715]) ).

fof(f13715,plain,
    elem_14 = elem_65,
    inference(forward_demodulation,[],[f13701,f758]) ).

fof(f758,axiom,
    elem_14 = s(elem_11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp35) ).

fof(f13701,plain,
    elem_65 = s(elem_11),
    inference(superposition,[],[f793,f13523]) ).

fof(f13523,plain,
    elem_11 = elem_67,
    inference(superposition,[],[f13449,f794]) ).

fof(f794,axiom,
    elem_67 = s(elem_69),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp71) ).

fof(f13449,plain,
    elem_11 = s(elem_69),
    inference(superposition,[],[f756,f13268]) ).

fof(f13268,plain,
    elem_69 = elem_8,
    inference(superposition,[],[f13223,f799]) ).

fof(f799,axiom,
    elem_8 = s(elem_5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp76) ).

fof(f13223,plain,
    elem_69 = s(elem_5),
    inference(superposition,[],[f796,f12650]) ).

fof(f12650,plain,
    elem_5 = elem_71,
    inference(forward_demodulation,[],[f12636,f784]) ).

fof(f784,axiom,
    elem_5 = s(elem_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp61) ).

fof(f12636,plain,
    elem_71 = s(elem_2),
    inference(superposition,[],[f797,f12454]) ).

fof(f12454,plain,
    elem_2 = elem_73,
    inference(superposition,[],[f12408,f798]) ).

fof(f798,axiom,
    elem_73 = s(elem_75),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp75) ).

fof(f12408,plain,
    elem_2 = s(elem_75),
    inference(superposition,[],[f762,f12402]) ).

fof(f12402,plain,
    elem_75 = elem_1,
    inference(forward_demodulation,[],[f12398,f9257]) ).

fof(f9257,plain,
    elem_75 = select(earray_12,i),
    inference(forward_demodulation,[],[f9256,f1229]) ).

fof(f1229,plain,
    elem_75 = select(earray_45,i),
    inference(superposition,[],[f1,f802]) ).

fof(f802,plain,
    earray_45 = store(earray_74,i,elem_75),
    inference(forward_demodulation,[],[f751,f800]) ).

fof(f800,axiom,
    earray_45 = earray_76,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp77) ).

fof(f751,axiom,
    earray_76 = store(earray_74,i,elem_75),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp28) ).

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

fof(f9256,plain,
    select(earray_45,i) = select(earray_12,i),
    inference(forward_demodulation,[],[f9196,f9151]) ).

fof(f9151,plain,
    select(earray_12,i) = select(earray_42,i),
    inference(forward_demodulation,[],[f9079,f9023]) ).

fof(f9023,plain,
    select(earray_12,i) = select(earray_39,i),
    inference(forward_demodulation,[],[f8931,f8366]) ).

fof(f8366,plain,
    select(earray_12,i) = select(earray_36,i),
    inference(forward_demodulation,[],[f8274,f8210]) ).

fof(f8210,plain,
    select(earray_12,i) = select(earray_33,i),
    inference(forward_demodulation,[],[f8098,f6646]) ).

fof(f6646,plain,
    select(earray_12,i) = select(earray_30,i),
    inference(forward_demodulation,[],[f6545,f5990]) ).

fof(f5990,plain,
    select(earray_12,i) = select(earray_27,i),
    inference(forward_demodulation,[],[f5897,f5818]) ).

fof(f5818,plain,
    select(earray_12,i) = select(earray_24,i),
    inference(forward_demodulation,[],[f5719,f5172]) ).

fof(f5172,plain,
    select(earray_12,i) = select(earray_21,i),
    inference(forward_demodulation,[],[f5081,f4539]) ).

fof(f4539,plain,
    select(earray_12,i) = select(earray_18,i),
    inference(forward_demodulation,[],[f4459,f3838]) ).

fof(f3838,plain,
    select(earray_12,i) = select(earray_15,i),
    inference(unit_resulting_resolution,[],[f1420,f3443]) ).

fof(f3443,plain,
    ! [X0] :
      ( select(earray_12,X0) = select(earray_15,X0)
      | elem_13 = X0 ),
    inference(superposition,[],[f2,f724]) ).

fof(f724,axiom,
    earray_15 = store(earray_12,elem_13,elem_14),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',a2) ).

fof(f1420,plain,
    elem_13 != i,
    inference(forward_demodulation,[],[f1419,f757]) ).

fof(f757,axiom,
    elem_13 = s(elem_10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp34) ).

fof(f1419,plain,
    i != s(elem_10),
    inference(forward_demodulation,[],[f1418,f755]) ).

fof(f755,axiom,
    elem_10 = s(elem_7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp32) ).

fof(f1418,plain,
    i != s(s(elem_7)),
    inference(forward_demodulation,[],[f1417,f795]) ).

fof(f795,axiom,
    elem_7 = s(elem_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp72) ).

fof(f1417,plain,
    i != s(s(s(elem_4))),
    inference(forward_demodulation,[],[f1294,f776]) ).

fof(f776,axiom,
    elem_4 = s(elem_0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp53) ).

fof(f1294,plain,
    i != s(s(s(s(elem_0)))),
    inference(superposition,[],[f718,f753]) ).

fof(f753,axiom,
    elem_0 = s(i),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp30) ).

fof(f718,axiom,
    ! [X4] : s(s(s(s(s(X4))))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as5) ).

fof(f4459,plain,
    select(earray_15,i) = select(earray_18,i),
    inference(unit_resulting_resolution,[],[f1644,f3445]) ).

fof(f3445,plain,
    ! [X0] :
      ( select(earray_15,X0) = select(earray_18,X0)
      | elem_16 = X0 ),
    inference(superposition,[],[f2,f725]) ).

fof(f725,axiom,
    earray_18 = store(earray_15,elem_16,elem_17),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).

fof(f1644,plain,
    elem_16 != i,
    inference(forward_demodulation,[],[f1643,f759]) ).

fof(f759,axiom,
    elem_16 = s(elem_13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp36) ).

fof(f1643,plain,
    i != s(elem_13),
    inference(forward_demodulation,[],[f1642,f757]) ).

fof(f1642,plain,
    i != s(s(elem_10)),
    inference(forward_demodulation,[],[f1641,f755]) ).

fof(f1641,plain,
    i != s(s(s(elem_7))),
    inference(forward_demodulation,[],[f1640,f795]) ).

fof(f1640,plain,
    i != s(s(s(s(elem_4)))),
    inference(forward_demodulation,[],[f1489,f776]) ).

fof(f1489,plain,
    i != s(s(s(s(s(elem_0))))),
    inference(superposition,[],[f717,f753]) ).

fof(f717,axiom,
    ! [X4] : s(s(s(s(s(s(X4)))))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as6) ).

fof(f5081,plain,
    select(earray_18,i) = select(earray_21,i),
    inference(unit_resulting_resolution,[],[f1895,f3446]) ).

fof(f3446,plain,
    ! [X0] :
      ( select(earray_18,X0) = select(earray_21,X0)
      | elem_19 = X0 ),
    inference(superposition,[],[f2,f726]) ).

fof(f726,axiom,
    earray_21 = store(earray_18,elem_19,elem_20),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).

fof(f1895,plain,
    elem_19 != i,
    inference(forward_demodulation,[],[f1894,f761]) ).

fof(f761,axiom,
    elem_19 = s(elem_16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp38) ).

fof(f1894,plain,
    i != s(elem_16),
    inference(forward_demodulation,[],[f1893,f759]) ).

fof(f1893,plain,
    i != s(s(elem_13)),
    inference(forward_demodulation,[],[f1892,f757]) ).

fof(f1892,plain,
    i != s(s(s(elem_10))),
    inference(forward_demodulation,[],[f1891,f755]) ).

fof(f1891,plain,
    i != s(s(s(s(elem_7)))),
    inference(forward_demodulation,[],[f1890,f795]) ).

fof(f1890,plain,
    i != s(s(s(s(s(elem_4))))),
    inference(forward_demodulation,[],[f1714,f776]) ).

fof(f1714,plain,
    i != s(s(s(s(s(s(elem_0)))))),
    inference(superposition,[],[f716,f753]) ).

fof(f716,axiom,
    ! [X4] : s(s(s(s(s(s(s(X4))))))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as7) ).

fof(f5719,plain,
    select(earray_21,i) = select(earray_24,i),
    inference(unit_resulting_resolution,[],[f2170,f3447]) ).

fof(f3447,plain,
    ! [X0] :
      ( select(earray_21,X0) = select(earray_24,X0)
      | elem_22 = X0 ),
    inference(superposition,[],[f2,f727]) ).

fof(f727,axiom,
    earray_24 = store(earray_21,elem_22,elem_23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).

fof(f2170,plain,
    elem_22 != i,
    inference(forward_demodulation,[],[f2169,f764]) ).

fof(f764,axiom,
    elem_22 = s(elem_19),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp41) ).

fof(f2169,plain,
    i != s(elem_19),
    inference(forward_demodulation,[],[f2168,f761]) ).

fof(f2168,plain,
    i != s(s(elem_16)),
    inference(forward_demodulation,[],[f2167,f759]) ).

fof(f2167,plain,
    i != s(s(s(elem_13))),
    inference(forward_demodulation,[],[f2166,f757]) ).

fof(f2166,plain,
    i != s(s(s(s(elem_10)))),
    inference(forward_demodulation,[],[f2165,f755]) ).

fof(f2165,plain,
    i != s(s(s(s(s(elem_7))))),
    inference(forward_demodulation,[],[f2164,f795]) ).

fof(f2164,plain,
    i != s(s(s(s(s(s(elem_4)))))),
    inference(forward_demodulation,[],[f1966,f776]) ).

fof(f1966,plain,
    i != s(s(s(s(s(s(s(elem_0))))))),
    inference(superposition,[],[f715,f753]) ).

fof(f715,axiom,
    ! [X4] : s(s(s(s(s(s(s(s(X4)))))))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as8) ).

fof(f5897,plain,
    select(earray_24,i) = select(earray_27,i),
    inference(unit_resulting_resolution,[],[f2464,f3448]) ).

fof(f3448,plain,
    ! [X0] :
      ( select(earray_24,X0) = select(earray_27,X0)
      | elem_25 = X0 ),
    inference(superposition,[],[f2,f728]) ).

fof(f728,axiom,
    earray_27 = store(earray_24,elem_25,elem_26),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).

fof(f2464,plain,
    elem_25 != i,
    inference(forward_demodulation,[],[f2463,f766]) ).

fof(f766,axiom,
    elem_25 = s(elem_22),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp43) ).

fof(f2463,plain,
    i != s(elem_22),
    inference(forward_demodulation,[],[f2462,f764]) ).

fof(f2462,plain,
    i != s(s(elem_19)),
    inference(forward_demodulation,[],[f2461,f761]) ).

fof(f2461,plain,
    i != s(s(s(elem_16))),
    inference(forward_demodulation,[],[f2460,f759]) ).

fof(f2460,plain,
    i != s(s(s(s(elem_13)))),
    inference(forward_demodulation,[],[f2459,f757]) ).

fof(f2459,plain,
    i != s(s(s(s(s(elem_10))))),
    inference(forward_demodulation,[],[f2458,f755]) ).

fof(f2458,plain,
    i != s(s(s(s(s(s(elem_7)))))),
    inference(forward_demodulation,[],[f2457,f795]) ).

fof(f2457,plain,
    i != s(s(s(s(s(s(s(elem_4))))))),
    inference(forward_demodulation,[],[f2242,f776]) ).

fof(f2242,plain,
    i != s(s(s(s(s(s(s(s(elem_0)))))))),
    inference(superposition,[],[f714,f753]) ).

fof(f714,axiom,
    ! [X4] : s(s(s(s(s(s(s(s(s(X4))))))))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as9) ).

fof(f6545,plain,
    select(earray_27,i) = select(earray_30,i),
    inference(unit_resulting_resolution,[],[f4200,f3449]) ).

fof(f3449,plain,
    ! [X0] :
      ( select(earray_27,X0) = select(earray_30,X0)
      | elem_28 = X0 ),
    inference(superposition,[],[f2,f730]) ).

fof(f730,axiom,
    earray_30 = store(earray_27,elem_28,elem_29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).

fof(f4200,plain,
    elem_28 != i,
    inference(forward_demodulation,[],[f4199,f768]) ).

fof(f768,axiom,
    elem_28 = s(elem_25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp45) ).

fof(f4199,plain,
    i != s(elem_25),
    inference(forward_demodulation,[],[f4198,f766]) ).

fof(f4198,plain,
    i != s(s(elem_22)),
    inference(forward_demodulation,[],[f4197,f764]) ).

fof(f4197,plain,
    i != s(s(s(elem_19))),
    inference(forward_demodulation,[],[f4196,f761]) ).

fof(f4196,plain,
    i != s(s(s(s(elem_16)))),
    inference(forward_demodulation,[],[f4195,f759]) ).

fof(f4195,plain,
    i != s(s(s(s(s(elem_13))))),
    inference(forward_demodulation,[],[f4194,f757]) ).

fof(f4194,plain,
    i != s(s(s(s(s(s(elem_10)))))),
    inference(forward_demodulation,[],[f4193,f755]) ).

fof(f4193,plain,
    i != s(s(s(s(s(s(s(elem_7))))))),
    inference(forward_demodulation,[],[f4192,f795]) ).

fof(f4192,plain,
    i != s(s(s(s(s(s(s(s(elem_4)))))))),
    inference(forward_demodulation,[],[f3951,f776]) ).

fof(f3951,plain,
    i != s(s(s(s(s(s(s(s(s(elem_0))))))))),
    inference(superposition,[],[f713,f753]) ).

fof(f713,axiom,
    ! [X4] : s(s(s(s(s(s(s(s(s(s(X4)))))))))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as10) ).

fof(f8098,plain,
    select(earray_30,i) = select(earray_33,i),
    inference(unit_resulting_resolution,[],[f4898,f3453]) ).

fof(f3453,plain,
    ! [X0] :
      ( select(earray_30,X0) = select(earray_33,X0)
      | elem_31 = X0 ),
    inference(superposition,[],[f2,f731]) ).

fof(f731,axiom,
    earray_33 = store(earray_30,elem_31,elem_32),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).

fof(f4898,plain,
    elem_31 != i,
    inference(forward_demodulation,[],[f4897,f770]) ).

fof(f770,axiom,
    elem_31 = s(elem_28),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp47) ).

fof(f4897,plain,
    i != s(elem_28),
    inference(forward_demodulation,[],[f4896,f768]) ).

fof(f4896,plain,
    i != s(s(elem_25)),
    inference(forward_demodulation,[],[f4895,f766]) ).

fof(f4895,plain,
    i != s(s(s(elem_22))),
    inference(forward_demodulation,[],[f4894,f764]) ).

fof(f4894,plain,
    i != s(s(s(s(elem_19)))),
    inference(forward_demodulation,[],[f4893,f761]) ).

fof(f4893,plain,
    i != s(s(s(s(s(elem_16))))),
    inference(forward_demodulation,[],[f4892,f759]) ).

fof(f4892,plain,
    i != s(s(s(s(s(s(elem_13)))))),
    inference(forward_demodulation,[],[f4891,f757]) ).

fof(f4891,plain,
    i != s(s(s(s(s(s(s(elem_10))))))),
    inference(forward_demodulation,[],[f4890,f755]) ).

fof(f4890,plain,
    i != s(s(s(s(s(s(s(s(elem_7)))))))),
    inference(forward_demodulation,[],[f4889,f795]) ).

fof(f4889,plain,
    i != s(s(s(s(s(s(s(s(s(elem_4))))))))),
    inference(forward_demodulation,[],[f4615,f776]) ).

fof(f4615,plain,
    i != s(s(s(s(s(s(s(s(s(s(elem_0)))))))))),
    inference(superposition,[],[f712,f753]) ).

fof(f712,axiom,
    ! [X4] : s(s(s(s(s(s(s(s(s(s(s(X4))))))))))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as11) ).

fof(f8274,plain,
    select(earray_33,i) = select(earray_36,i),
    inference(unit_resulting_resolution,[],[f5561,f3454]) ).

fof(f3454,plain,
    ! [X0] :
      ( select(earray_33,X0) = select(earray_36,X0)
      | elem_34 = X0 ),
    inference(superposition,[],[f2,f732]) ).

fof(f732,axiom,
    earray_36 = store(earray_33,elem_34,elem_35),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).

fof(f5561,plain,
    elem_34 != i,
    inference(forward_demodulation,[],[f5560,f772]) ).

fof(f772,axiom,
    elem_34 = s(elem_31),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp49) ).

fof(f5560,plain,
    i != s(elem_31),
    inference(forward_demodulation,[],[f5559,f770]) ).

fof(f5559,plain,
    i != s(s(elem_28)),
    inference(forward_demodulation,[],[f5558,f768]) ).

fof(f5558,plain,
    i != s(s(s(elem_25))),
    inference(forward_demodulation,[],[f5557,f766]) ).

fof(f5557,plain,
    i != s(s(s(s(elem_22)))),
    inference(forward_demodulation,[],[f5556,f764]) ).

fof(f5556,plain,
    i != s(s(s(s(s(elem_19))))),
    inference(forward_demodulation,[],[f5555,f761]) ).

fof(f5555,plain,
    i != s(s(s(s(s(s(elem_16)))))),
    inference(forward_demodulation,[],[f5554,f759]) ).

fof(f5554,plain,
    i != s(s(s(s(s(s(s(elem_13))))))),
    inference(forward_demodulation,[],[f5553,f757]) ).

fof(f5553,plain,
    i != s(s(s(s(s(s(s(s(elem_10)))))))),
    inference(forward_demodulation,[],[f5552,f755]) ).

fof(f5552,plain,
    i != s(s(s(s(s(s(s(s(s(elem_7))))))))),
    inference(forward_demodulation,[],[f5551,f795]) ).

fof(f5551,plain,
    i != s(s(s(s(s(s(s(s(s(s(elem_4)))))))))),
    inference(forward_demodulation,[],[f5259,f776]) ).

fof(f5259,plain,
    i != s(s(s(s(s(s(s(s(s(s(s(elem_0))))))))))),
    inference(superposition,[],[f711,f753]) ).

fof(f711,axiom,
    ! [X4] : s(s(s(s(s(s(s(s(s(s(s(s(X4)))))))))))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as12) ).

fof(f8931,plain,
    select(earray_36,i) = select(earray_39,i),
    inference(unit_resulting_resolution,[],[f6388,f3455]) ).

fof(f3455,plain,
    ! [X0] :
      ( select(earray_36,X0) = select(earray_39,X0)
      | elem_37 = X0 ),
    inference(superposition,[],[f2,f733]) ).

fof(f733,axiom,
    earray_39 = store(earray_36,elem_37,elem_38),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).

fof(f6388,plain,
    elem_37 != i,
    inference(forward_demodulation,[],[f6387,f774]) ).

fof(f774,axiom,
    elem_37 = s(elem_34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp51) ).

fof(f6387,plain,
    i != s(elem_34),
    inference(forward_demodulation,[],[f6386,f772]) ).

fof(f6386,plain,
    i != s(s(elem_31)),
    inference(forward_demodulation,[],[f6385,f770]) ).

fof(f6385,plain,
    i != s(s(s(elem_28))),
    inference(forward_demodulation,[],[f6384,f768]) ).

fof(f6384,plain,
    i != s(s(s(s(elem_25)))),
    inference(forward_demodulation,[],[f6383,f766]) ).

fof(f6383,plain,
    i != s(s(s(s(s(elem_22))))),
    inference(forward_demodulation,[],[f6382,f764]) ).

fof(f6382,plain,
    i != s(s(s(s(s(s(elem_19)))))),
    inference(forward_demodulation,[],[f6381,f761]) ).

fof(f6381,plain,
    i != s(s(s(s(s(s(s(elem_16))))))),
    inference(forward_demodulation,[],[f6380,f759]) ).

fof(f6380,plain,
    i != s(s(s(s(s(s(s(s(elem_13)))))))),
    inference(forward_demodulation,[],[f6379,f757]) ).

fof(f6379,plain,
    i != s(s(s(s(s(s(s(s(s(elem_10))))))))),
    inference(forward_demodulation,[],[f6378,f755]) ).

fof(f6378,plain,
    i != s(s(s(s(s(s(s(s(s(s(elem_7)))))))))),
    inference(forward_demodulation,[],[f6377,f795]) ).

fof(f6377,plain,
    i != s(s(s(s(s(s(s(s(s(s(s(elem_4))))))))))),
    inference(forward_demodulation,[],[f6066,f776]) ).

fof(f6066,plain,
    i != s(s(s(s(s(s(s(s(s(s(s(s(elem_0)))))))))))),
    inference(superposition,[],[f710,f753]) ).

fof(f710,axiom,
    ! [X4] : s(s(s(s(s(s(s(s(s(s(s(s(s(X4))))))))))))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as13) ).

fof(f9079,plain,
    select(earray_39,i) = select(earray_42,i),
    inference(unit_resulting_resolution,[],[f7219,f3456]) ).

fof(f3456,plain,
    ! [X0] :
      ( select(earray_39,X0) = select(earray_42,X0)
      | elem_40 = X0 ),
    inference(superposition,[],[f2,f734]) ).

fof(f734,axiom,
    earray_42 = store(earray_39,elem_40,elem_41),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).

fof(f7219,plain,
    elem_40 != i,
    inference(forward_demodulation,[],[f7218,f777]) ).

fof(f777,axiom,
    elem_40 = s(elem_37),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp54) ).

fof(f7218,plain,
    i != s(elem_37),
    inference(forward_demodulation,[],[f7217,f774]) ).

fof(f7217,plain,
    i != s(s(elem_34)),
    inference(forward_demodulation,[],[f7216,f772]) ).

fof(f7216,plain,
    i != s(s(s(elem_31))),
    inference(forward_demodulation,[],[f7215,f770]) ).

fof(f7215,plain,
    i != s(s(s(s(elem_28)))),
    inference(forward_demodulation,[],[f7214,f768]) ).

fof(f7214,plain,
    i != s(s(s(s(s(elem_25))))),
    inference(forward_demodulation,[],[f7213,f766]) ).

fof(f7213,plain,
    i != s(s(s(s(s(s(elem_22)))))),
    inference(forward_demodulation,[],[f7212,f764]) ).

fof(f7212,plain,
    i != s(s(s(s(s(s(s(elem_19))))))),
    inference(forward_demodulation,[],[f7211,f761]) ).

fof(f7211,plain,
    i != s(s(s(s(s(s(s(s(elem_16)))))))),
    inference(forward_demodulation,[],[f7210,f759]) ).

fof(f7210,plain,
    i != s(s(s(s(s(s(s(s(s(elem_13))))))))),
    inference(forward_demodulation,[],[f7209,f757]) ).

fof(f7209,plain,
    i != s(s(s(s(s(s(s(s(s(s(elem_10)))))))))),
    inference(forward_demodulation,[],[f7208,f755]) ).

fof(f7208,plain,
    i != s(s(s(s(s(s(s(s(s(s(s(elem_7))))))))))),
    inference(forward_demodulation,[],[f7207,f795]) ).

fof(f7207,plain,
    i != s(s(s(s(s(s(s(s(s(s(s(s(elem_4)))))))))))),
    inference(forward_demodulation,[],[f6875,f776]) ).

fof(f6875,plain,
    i != s(s(s(s(s(s(s(s(s(s(s(s(s(elem_0))))))))))))),
    inference(superposition,[],[f709,f753]) ).

fof(f709,axiom,
    ! [X4] : s(s(s(s(s(s(s(s(s(s(s(s(s(s(X4)))))))))))))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as14) ).

fof(f9196,plain,
    select(earray_45,i) = select(earray_42,i),
    inference(unit_resulting_resolution,[],[f7974,f3457]) ).

fof(f3457,plain,
    ! [X0] :
      ( select(earray_42,X0) = select(earray_45,X0)
      | elem_43 = X0 ),
    inference(superposition,[],[f2,f735]) ).

fof(f735,axiom,
    earray_45 = store(earray_42,elem_43,elem_44),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).

fof(f7974,plain,
    elem_43 != i,
    inference(forward_demodulation,[],[f7973,f779]) ).

fof(f779,axiom,
    elem_43 = s(elem_40),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp56) ).

fof(f7973,plain,
    i != s(elem_40),
    inference(forward_demodulation,[],[f7972,f777]) ).

fof(f7972,plain,
    i != s(s(elem_37)),
    inference(forward_demodulation,[],[f7971,f774]) ).

fof(f7971,plain,
    i != s(s(s(elem_34))),
    inference(forward_demodulation,[],[f7970,f772]) ).

fof(f7970,plain,
    i != s(s(s(s(elem_31)))),
    inference(forward_demodulation,[],[f7969,f770]) ).

fof(f7969,plain,
    i != s(s(s(s(s(elem_28))))),
    inference(forward_demodulation,[],[f7968,f768]) ).

fof(f7968,plain,
    i != s(s(s(s(s(s(elem_25)))))),
    inference(forward_demodulation,[],[f7967,f766]) ).

fof(f7967,plain,
    i != s(s(s(s(s(s(s(elem_22))))))),
    inference(forward_demodulation,[],[f7966,f764]) ).

fof(f7966,plain,
    i != s(s(s(s(s(s(s(s(elem_19)))))))),
    inference(forward_demodulation,[],[f7965,f761]) ).

fof(f7965,plain,
    i != s(s(s(s(s(s(s(s(s(elem_16))))))))),
    inference(forward_demodulation,[],[f7964,f759]) ).

fof(f7964,plain,
    i != s(s(s(s(s(s(s(s(s(s(elem_13)))))))))),
    inference(forward_demodulation,[],[f7963,f757]) ).

fof(f7963,plain,
    i != s(s(s(s(s(s(s(s(s(s(s(elem_10))))))))))),
    inference(forward_demodulation,[],[f7962,f755]) ).

fof(f7962,plain,
    i != s(s(s(s(s(s(s(s(s(s(s(s(elem_7)))))))))))),
    inference(forward_demodulation,[],[f7961,f795]) ).

fof(f7961,plain,
    i != s(s(s(s(s(s(s(s(s(s(s(s(s(elem_4))))))))))))),
    inference(forward_demodulation,[],[f7611,f776]) ).

fof(f7611,plain,
    i != s(s(s(s(s(s(s(s(s(s(s(s(s(s(elem_0)))))))))))))),
    inference(superposition,[],[f708,f753]) ).

fof(f708,axiom,
    ! [X4] : s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X4))))))))))))))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as15) ).

fof(f12398,plain,
    elem_1 = select(earray_12,i),
    inference(superposition,[],[f12352,f4360]) ).

fof(f4360,plain,
    select(earray_12,i) = select(earray_9,i),
    inference(unit_resulting_resolution,[],[f1177,f3444]) ).

fof(f3444,plain,
    ! [X0] :
      ( select(earray_12,X0) = select(earray_9,X0)
      | elem_10 = X0 ),
    inference(superposition,[],[f2,f723]) ).

fof(f723,axiom,
    earray_12 = store(earray_9,elem_10,elem_11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).

fof(f1177,plain,
    elem_10 != i,
    inference(forward_demodulation,[],[f1176,f755]) ).

fof(f1176,plain,
    i != s(elem_7),
    inference(forward_demodulation,[],[f1175,f795]) ).

fof(f1175,plain,
    i != s(s(elem_4)),
    inference(forward_demodulation,[],[f1083,f776]) ).

fof(f1083,plain,
    i != s(s(s(elem_0))),
    inference(superposition,[],[f719,f753]) ).

fof(f719,axiom,
    ! [X4] : s(s(s(s(X4)))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as4) ).

fof(f12352,plain,
    elem_1 = select(earray_9,i),
    inference(forward_demodulation,[],[f12351,f7471]) ).

fof(f7471,plain,
    elem_1 = select(earray_3,i),
    inference(forward_demodulation,[],[f7340,f754]) ).

fof(f754,axiom,
    elem_1 = select(a,i),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp31) ).

fof(f7340,plain,
    select(a,i) = select(earray_3,i),
    inference(unit_resulting_resolution,[],[f844,f3451]) ).

fof(f3451,plain,
    ! [X0] :
      ( select(earray_3,X0) = select(a,X0)
      | elem_0 = X0 ),
    inference(superposition,[],[f2,f729]) ).

fof(f729,axiom,
    earray_3 = store(a,elem_0,elem_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).

fof(f844,plain,
    elem_0 != i,
    inference(superposition,[],[f722,f753]) ).

fof(f722,axiom,
    ! [X4] : s(X4) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as1) ).

fof(f12351,plain,
    select(earray_9,i) = select(earray_3,i),
    inference(subsumption_resolution,[],[f12104,f1035]) ).

fof(f1035,plain,
    elem_7 != i,
    inference(forward_demodulation,[],[f1034,f795]) ).

fof(f1034,plain,
    i != s(elem_4),
    inference(forward_demodulation,[],[f976,f776]) ).

fof(f976,plain,
    i != s(s(elem_0)),
    inference(superposition,[],[f720,f753]) ).

fof(f720,axiom,
    ! [X4] : s(s(s(X4))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as3) ).

fof(f12104,plain,
    ( select(earray_9,i) = select(earray_3,i)
    | elem_7 = i ),
    inference(superposition,[],[f3464,f6701]) ).

fof(f6701,plain,
    select(earray_3,i) = select(earray_6,i),
    inference(unit_resulting_resolution,[],[f908,f3450]) ).

fof(f3450,plain,
    ! [X0] :
      ( select(earray_3,X0) = select(earray_6,X0)
      | elem_4 = X0 ),
    inference(superposition,[],[f2,f742]) ).

fof(f742,axiom,
    earray_6 = store(earray_3,elem_4,elem_5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).

fof(f908,plain,
    elem_4 != i,
    inference(forward_demodulation,[],[f889,f776]) ).

fof(f889,plain,
    i != s(elem_0),
    inference(superposition,[],[f721,f753]) ).

fof(f721,axiom,
    ! [X4] : s(s(X4)) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as2) ).

fof(f3464,plain,
    ! [X0] :
      ( select(earray_9,X0) = select(earray_6,X0)
      | elem_7 = X0 ),
    inference(superposition,[],[f2,f752]) ).

fof(f752,axiom,
    earray_9 = store(earray_6,elem_7,elem_8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp29) ).

fof(f762,axiom,
    elem_2 = s(elem_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp39) ).

fof(f797,axiom,
    elem_71 = s(elem_73),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp74) ).

fof(f796,axiom,
    elem_69 = s(elem_71),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp73) ).

fof(f756,axiom,
    elem_11 = s(elem_8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp33) ).

fof(f793,axiom,
    elem_65 = s(elem_67),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp70) ).

fof(f792,axiom,
    elem_63 = s(elem_65),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp69) ).

fof(f791,axiom,
    elem_61 = s(elem_63),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp68) ).

fof(f790,axiom,
    elem_59 = s(elem_61),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp67) ).

fof(f789,axiom,
    elem_57 = s(elem_59),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp66) ).

fof(f788,axiom,
    elem_55 = s(elem_57),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp65) ).

fof(f787,axiom,
    elem_53 = s(elem_55),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp64) ).

fof(f786,axiom,
    elem_51 = s(elem_53),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp63) ).

fof(f785,axiom,
    elem_49 = s(elem_51),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp62) ).

fof(f783,axiom,
    elem_47 = s(elem_49),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp60) ).

fof(f782,axiom,
    elem_46 = s(elem_47),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp59) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : SWV567-1.015 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Apr 30 04:44:26 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.35  % (24856)Running in auto input_syntax mode. Trying TPTP
% 0.75/0.92  % (24857)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.75/0.93  % (24859)WARNING: value z3 for option sas not known
% 0.75/0.93  % (24862)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)
% 0.75/0.93  % (24863)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)
% 0.75/0.93  % (24858)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.75/0.93  % (24859)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)
% 0.75/0.93  % (24860)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.75/0.93  % (24861)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)
% 14.62/2.98  % (24863)First to succeed.
% 14.62/2.98  % (24863)Refutation found. Thanks to Tanya!
% 14.62/2.98  % SZS status Unsatisfiable for theBenchmark
% 14.62/2.98  % SZS output start Proof for theBenchmark
% See solution above
% 14.62/2.98  % (24863)------------------------------
% 14.62/2.98  % (24863)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 14.62/2.98  % (24863)Termination reason: Refutation
% 14.62/2.98  
% 14.62/2.98  % (24863)Memory used [KB]: 6051
% 14.62/2.98  % (24863)Time elapsed: 2.052 s
% 14.62/2.98  % (24863)Instructions burned: 6674 (million)
% 14.62/2.98  % (24863)------------------------------
% 14.62/2.98  % (24863)------------------------------
% 14.62/2.98  % (24856)Success in time 2.628 s
%------------------------------------------------------------------------------