TSTP Solution File: SWV567-1.013 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV567-1.013 : 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 : n007.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 : Sun May  5 11:07:11 EDT 2024

% Result   : Unsatisfiable 5.14s 1.39s
% Output   : Refutation 5.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   44
%            Number of leaves      :   71
% Syntax   : Number of formulae    :  231 ( 216 unt;   0 def)
%            Number of atoms       :  246 ( 245 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  120 ( 105   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :   14 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   61 (  61 usr;  58 con; 0-3 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11070,plain,
    $false,
    inference(subsumption_resolution,[],[f11069,f617]) ).

fof(f617,axiom,
    elem_38 != elem_40,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

fof(f11069,plain,
    elem_38 = elem_40,
    inference(forward_demodulation,[],[f11046,f597]) ).

fof(f597,axiom,
    elem_38 = s(elem_35),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp48) ).

fof(f11046,plain,
    s(elem_35) = elem_40,
    inference(superposition,[],[f600,f11040]) ).

fof(f11040,plain,
    elem_35 = elem_41,
    inference(forward_demodulation,[],[f11030,f595]) ).

fof(f595,axiom,
    elem_35 = s(elem_32),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp46) ).

fof(f11030,plain,
    elem_41 = s(elem_32),
    inference(superposition,[],[f601,f11022]) ).

fof(f11022,plain,
    elem_32 = elem_43,
    inference(forward_demodulation,[],[f11012,f593]) ).

fof(f593,axiom,
    elem_32 = s(elem_29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp44) ).

fof(f11012,plain,
    elem_43 = s(elem_29),
    inference(superposition,[],[f602,f11002]) ).

fof(f11002,plain,
    elem_29 = elem_45,
    inference(forward_demodulation,[],[f10992,f591]) ).

fof(f591,axiom,
    elem_29 = s(elem_26),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp42) ).

fof(f10992,plain,
    elem_45 = s(elem_26),
    inference(superposition,[],[f603,f10980]) ).

fof(f10980,plain,
    elem_26 = elem_47,
    inference(forward_demodulation,[],[f10970,f589]) ).

fof(f589,axiom,
    elem_26 = s(elem_23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp40) ).

fof(f10970,plain,
    elem_47 = s(elem_23),
    inference(superposition,[],[f604,f10956]) ).

fof(f10956,plain,
    elem_23 = elem_49,
    inference(forward_demodulation,[],[f10946,f587]) ).

fof(f587,axiom,
    elem_23 = s(elem_20),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp38) ).

fof(f10946,plain,
    elem_49 = s(elem_20),
    inference(superposition,[],[f606,f10930]) ).

fof(f10930,plain,
    elem_20 = elem_51,
    inference(forward_demodulation,[],[f10920,f585]) ).

fof(f585,axiom,
    elem_20 = s(elem_17),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp36) ).

fof(f10920,plain,
    elem_51 = s(elem_17),
    inference(superposition,[],[f607,f10902]) ).

fof(f10902,plain,
    elem_17 = elem_53,
    inference(forward_demodulation,[],[f10892,f582]) ).

fof(f582,axiom,
    elem_17 = s(elem_14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp33) ).

fof(f10892,plain,
    elem_53 = s(elem_14),
    inference(superposition,[],[f608,f10872]) ).

fof(f10872,plain,
    elem_14 = elem_55,
    inference(forward_demodulation,[],[f10862,f580]) ).

fof(f580,axiom,
    elem_14 = s(elem_11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp31) ).

fof(f10862,plain,
    elem_55 = s(elem_11),
    inference(superposition,[],[f609,f10724]) ).

fof(f10724,plain,
    elem_11 = elem_57,
    inference(superposition,[],[f10211,f610]) ).

fof(f610,axiom,
    elem_57 = s(elem_59),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp61) ).

fof(f10211,plain,
    elem_11 = s(elem_59),
    inference(superposition,[],[f578,f10075]) ).

fof(f10075,plain,
    elem_59 = elem_8,
    inference(superposition,[],[f10036,f615]) ).

fof(f615,axiom,
    elem_8 = s(elem_5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp66) ).

fof(f10036,plain,
    elem_59 = s(elem_5),
    inference(superposition,[],[f611,f10010]) ).

fof(f10010,plain,
    elem_5 = elem_61,
    inference(forward_demodulation,[],[f9998,f605]) ).

fof(f605,axiom,
    elem_5 = s(elem_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp56) ).

fof(f9998,plain,
    elem_61 = s(elem_2),
    inference(superposition,[],[f612,f9853]) ).

fof(f9853,plain,
    elem_2 = elem_63,
    inference(superposition,[],[f9813,f613]) ).

fof(f613,axiom,
    elem_63 = s(elem_65),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp64) ).

fof(f9813,plain,
    elem_2 = s(elem_65),
    inference(superposition,[],[f584,f9807]) ).

fof(f9807,plain,
    elem_65 = elem_1,
    inference(forward_demodulation,[],[f9803,f6104]) ).

fof(f6104,plain,
    elem_65 = select(earray_12,i),
    inference(forward_demodulation,[],[f6103,f1003]) ).

fof(f1003,plain,
    elem_65 = select(earray_39,i),
    inference(superposition,[],[f1,f618]) ).

fof(f618,plain,
    earray_39 = store(earray_64,i,elem_65),
    inference(forward_demodulation,[],[f573,f616]) ).

fof(f616,axiom,
    earray_39 = earray_66,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp67) ).

fof(f573,axiom,
    earray_66 = store(earray_64,i,elem_65),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).

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

fof(f6103,plain,
    select(earray_39,i) = select(earray_12,i),
    inference(forward_demodulation,[],[f6053,f6012]) ).

fof(f6012,plain,
    select(earray_12,i) = select(earray_36,i),
    inference(forward_demodulation,[],[f5953,f5901]) ).

fof(f5901,plain,
    select(earray_12,i) = select(earray_33,i),
    inference(forward_demodulation,[],[f5822,f4667]) ).

fof(f4667,plain,
    select(earray_12,i) = select(earray_30,i),
    inference(forward_demodulation,[],[f4595,f4153]) ).

fof(f4153,plain,
    select(earray_12,i) = select(earray_27,i),
    inference(forward_demodulation,[],[f4087,f4022]) ).

fof(f4022,plain,
    select(earray_12,i) = select(earray_24,i),
    inference(forward_demodulation,[],[f3950,f3516]) ).

fof(f3516,plain,
    select(earray_12,i) = select(earray_21,i),
    inference(forward_demodulation,[],[f3451,f3376]) ).

fof(f3376,plain,
    select(earray_12,i) = select(earray_18,i),
    inference(forward_demodulation,[],[f3310,f3139]) ).

fof(f3139,plain,
    select(earray_12,i) = select(earray_15,i),
    inference(unit_resulting_resolution,[],[f1146,f2892]) ).

fof(f2892,plain,
    ! [X0] :
      ( select(earray_12,X0) = select(earray_15,X0)
      | elem_13 = X0 ),
    inference(superposition,[],[f2,f550]) ).

fof(f550,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(f1146,plain,
    elem_13 != i,
    inference(forward_demodulation,[],[f1145,f579]) ).

fof(f579,axiom,
    elem_13 = s(elem_10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp30) ).

fof(f1145,plain,
    i != s(elem_10),
    inference(forward_demodulation,[],[f1144,f577]) ).

fof(f577,axiom,
    elem_10 = s(elem_7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp28) ).

fof(f1144,plain,
    i != s(s(elem_7)),
    inference(forward_demodulation,[],[f1143,f614]) ).

fof(f614,axiom,
    elem_7 = s(elem_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp65) ).

fof(f1143,plain,
    i != s(s(s(elem_4))),
    inference(forward_demodulation,[],[f1040,f598]) ).

fof(f598,axiom,
    elem_4 = s(elem_0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp49) ).

fof(f1040,plain,
    i != s(s(s(s(elem_0)))),
    inference(superposition,[],[f544,f575]) ).

fof(f575,axiom,
    elem_0 = s(i),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).

fof(f544,axiom,
    ! [X4] : s(s(s(s(s(X4))))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as5) ).

fof(f3310,plain,
    select(earray_15,i) = select(earray_18,i),
    inference(unit_resulting_resolution,[],[f1326,f2894]) ).

fof(f2894,plain,
    ! [X0] :
      ( select(earray_15,X0) = select(earray_18,X0)
      | elem_16 = X0 ),
    inference(superposition,[],[f2,f551]) ).

fof(f551,axiom,
    earray_18 = store(earray_15,elem_16,elem_17),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).

fof(f1326,plain,
    elem_16 != i,
    inference(forward_demodulation,[],[f1325,f581]) ).

fof(f581,axiom,
    elem_16 = s(elem_13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp32) ).

fof(f1325,plain,
    i != s(elem_13),
    inference(forward_demodulation,[],[f1324,f579]) ).

fof(f1324,plain,
    i != s(s(elem_10)),
    inference(forward_demodulation,[],[f1323,f577]) ).

fof(f1323,plain,
    i != s(s(s(elem_7))),
    inference(forward_demodulation,[],[f1322,f614]) ).

fof(f1322,plain,
    i != s(s(s(s(elem_4)))),
    inference(forward_demodulation,[],[f1197,f598]) ).

fof(f1197,plain,
    i != s(s(s(s(s(elem_0))))),
    inference(superposition,[],[f543,f575]) ).

fof(f543,axiom,
    ! [X4] : s(s(s(s(s(s(X4)))))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as6) ).

fof(f3451,plain,
    select(earray_18,i) = select(earray_21,i),
    inference(unit_resulting_resolution,[],[f1543,f2895]) ).

fof(f2895,plain,
    ! [X0] :
      ( select(earray_18,X0) = select(earray_21,X0)
      | elem_19 = X0 ),
    inference(superposition,[],[f2,f552]) ).

fof(f552,axiom,
    earray_21 = store(earray_18,elem_19,elem_20),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).

fof(f1543,plain,
    elem_19 != i,
    inference(forward_demodulation,[],[f1542,f583]) ).

fof(f583,axiom,
    elem_19 = s(elem_16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp34) ).

fof(f1542,plain,
    i != s(elem_16),
    inference(forward_demodulation,[],[f1541,f581]) ).

fof(f1541,plain,
    i != s(s(elem_13)),
    inference(forward_demodulation,[],[f1540,f579]) ).

fof(f1540,plain,
    i != s(s(s(elem_10))),
    inference(forward_demodulation,[],[f1539,f577]) ).

fof(f1539,plain,
    i != s(s(s(s(elem_7)))),
    inference(forward_demodulation,[],[f1538,f614]) ).

fof(f1538,plain,
    i != s(s(s(s(s(elem_4))))),
    inference(forward_demodulation,[],[f1394,f598]) ).

fof(f1394,plain,
    i != s(s(s(s(s(s(elem_0)))))),
    inference(superposition,[],[f542,f575]) ).

fof(f542,axiom,
    ! [X4] : s(s(s(s(s(s(s(X4))))))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as7) ).

fof(f3950,plain,
    select(earray_21,i) = select(earray_24,i),
    inference(unit_resulting_resolution,[],[f1770,f2896]) ).

fof(f2896,plain,
    ! [X0] :
      ( select(earray_21,X0) = select(earray_24,X0)
      | elem_22 = X0 ),
    inference(superposition,[],[f2,f553]) ).

fof(f553,axiom,
    earray_24 = store(earray_21,elem_22,elem_23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).

fof(f1770,plain,
    elem_22 != i,
    inference(forward_demodulation,[],[f1769,f586]) ).

fof(f586,axiom,
    elem_22 = s(elem_19),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp37) ).

fof(f1769,plain,
    i != s(elem_19),
    inference(forward_demodulation,[],[f1768,f583]) ).

fof(f1768,plain,
    i != s(s(elem_16)),
    inference(forward_demodulation,[],[f1767,f581]) ).

fof(f1767,plain,
    i != s(s(s(elem_13))),
    inference(forward_demodulation,[],[f1766,f579]) ).

fof(f1766,plain,
    i != s(s(s(s(elem_10)))),
    inference(forward_demodulation,[],[f1765,f577]) ).

fof(f1765,plain,
    i != s(s(s(s(s(elem_7))))),
    inference(forward_demodulation,[],[f1764,f614]) ).

fof(f1764,plain,
    i != s(s(s(s(s(s(elem_4)))))),
    inference(forward_demodulation,[],[f1604,f598]) ).

fof(f1604,plain,
    i != s(s(s(s(s(s(s(elem_0))))))),
    inference(superposition,[],[f541,f575]) ).

fof(f541,axiom,
    ! [X4] : s(s(s(s(s(s(s(s(X4)))))))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as8) ).

fof(f4087,plain,
    select(earray_24,i) = select(earray_27,i),
    inference(unit_resulting_resolution,[],[f2005,f2897]) ).

fof(f2897,plain,
    ! [X0] :
      ( select(earray_24,X0) = select(earray_27,X0)
      | elem_25 = X0 ),
    inference(superposition,[],[f2,f554]) ).

fof(f554,axiom,
    earray_27 = store(earray_24,elem_25,elem_26),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).

fof(f2005,plain,
    elem_25 != i,
    inference(forward_demodulation,[],[f2004,f588]) ).

fof(f588,axiom,
    elem_25 = s(elem_22),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp39) ).

fof(f2004,plain,
    i != s(elem_22),
    inference(forward_demodulation,[],[f2003,f586]) ).

fof(f2003,plain,
    i != s(s(elem_19)),
    inference(forward_demodulation,[],[f2002,f583]) ).

fof(f2002,plain,
    i != s(s(s(elem_16))),
    inference(forward_demodulation,[],[f2001,f581]) ).

fof(f2001,plain,
    i != s(s(s(s(elem_13)))),
    inference(forward_demodulation,[],[f2000,f579]) ).

fof(f2000,plain,
    i != s(s(s(s(s(elem_10))))),
    inference(forward_demodulation,[],[f1999,f577]) ).

fof(f1999,plain,
    i != s(s(s(s(s(s(elem_7)))))),
    inference(forward_demodulation,[],[f1998,f614]) ).

fof(f1998,plain,
    i != s(s(s(s(s(s(s(elem_4))))))),
    inference(forward_demodulation,[],[f1827,f598]) ).

fof(f1827,plain,
    i != s(s(s(s(s(s(s(s(elem_0)))))))),
    inference(superposition,[],[f540,f575]) ).

fof(f540,axiom,
    ! [X4] : s(s(s(s(s(s(s(s(s(X4))))))))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as9) ).

fof(f4595,plain,
    select(earray_27,i) = select(earray_30,i),
    inference(unit_resulting_resolution,[],[f3798,f2898]) ).

fof(f2898,plain,
    ! [X0] :
      ( select(earray_27,X0) = select(earray_30,X0)
      | elem_28 = X0 ),
    inference(superposition,[],[f2,f556]) ).

fof(f556,axiom,
    earray_30 = store(earray_27,elem_28,elem_29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).

fof(f3798,plain,
    elem_28 != i,
    inference(forward_demodulation,[],[f3797,f590]) ).

fof(f590,axiom,
    elem_28 = s(elem_25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp41) ).

fof(f3797,plain,
    i != s(elem_25),
    inference(forward_demodulation,[],[f3796,f588]) ).

fof(f3796,plain,
    i != s(s(elem_22)),
    inference(forward_demodulation,[],[f3795,f586]) ).

fof(f3795,plain,
    i != s(s(s(elem_19))),
    inference(forward_demodulation,[],[f3794,f583]) ).

fof(f3794,plain,
    i != s(s(s(s(elem_16)))),
    inference(forward_demodulation,[],[f3793,f581]) ).

fof(f3793,plain,
    i != s(s(s(s(s(elem_13))))),
    inference(forward_demodulation,[],[f3792,f579]) ).

fof(f3792,plain,
    i != s(s(s(s(s(s(elem_10)))))),
    inference(forward_demodulation,[],[f3791,f577]) ).

fof(f3791,plain,
    i != s(s(s(s(s(s(s(elem_7))))))),
    inference(forward_demodulation,[],[f3790,f614]) ).

fof(f3790,plain,
    i != s(s(s(s(s(s(s(s(elem_4)))))))),
    inference(forward_demodulation,[],[f3579,f598]) ).

fof(f3579,plain,
    i != s(s(s(s(s(s(s(s(s(elem_0))))))))),
    inference(superposition,[],[f539,f575]) ).

fof(f539,axiom,
    ! [X4] : s(s(s(s(s(s(s(s(s(s(X4)))))))))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as10) ).

fof(f5822,plain,
    select(earray_30,i) = select(earray_33,i),
    inference(unit_resulting_resolution,[],[f4450,f2902]) ).

fof(f2902,plain,
    ! [X0] :
      ( select(earray_30,X0) = select(earray_33,X0)
      | elem_31 = X0 ),
    inference(superposition,[],[f2,f557]) ).

fof(f557,axiom,
    earray_33 = store(earray_30,elem_31,elem_32),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).

fof(f4450,plain,
    elem_31 != i,
    inference(forward_demodulation,[],[f4449,f592]) ).

fof(f592,axiom,
    elem_31 = s(elem_28),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp43) ).

fof(f4449,plain,
    i != s(elem_28),
    inference(forward_demodulation,[],[f4448,f590]) ).

fof(f4448,plain,
    i != s(s(elem_25)),
    inference(forward_demodulation,[],[f4447,f588]) ).

fof(f4447,plain,
    i != s(s(s(elem_22))),
    inference(forward_demodulation,[],[f4446,f586]) ).

fof(f4446,plain,
    i != s(s(s(s(elem_19)))),
    inference(forward_demodulation,[],[f4445,f583]) ).

fof(f4445,plain,
    i != s(s(s(s(s(elem_16))))),
    inference(forward_demodulation,[],[f4444,f581]) ).

fof(f4444,plain,
    i != s(s(s(s(s(s(elem_13)))))),
    inference(forward_demodulation,[],[f4443,f579]) ).

fof(f4443,plain,
    i != s(s(s(s(s(s(s(elem_10))))))),
    inference(forward_demodulation,[],[f4442,f577]) ).

fof(f4442,plain,
    i != s(s(s(s(s(s(s(s(elem_7)))))))),
    inference(forward_demodulation,[],[f4441,f614]) ).

fof(f4441,plain,
    i != s(s(s(s(s(s(s(s(s(elem_4))))))))),
    inference(forward_demodulation,[],[f4215,f598]) ).

fof(f4215,plain,
    i != s(s(s(s(s(s(s(s(s(s(elem_0)))))))))),
    inference(superposition,[],[f538,f575]) ).

fof(f538,axiom,
    ! [X4] : s(s(s(s(s(s(s(s(s(s(s(X4))))))))))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as11) ).

fof(f5953,plain,
    select(earray_33,i) = select(earray_36,i),
    inference(unit_resulting_resolution,[],[f5104,f2903]) ).

fof(f2903,plain,
    ! [X0] :
      ( select(earray_33,X0) = select(earray_36,X0)
      | elem_34 = X0 ),
    inference(superposition,[],[f2,f558]) ).

fof(f558,axiom,
    earray_36 = store(earray_33,elem_34,elem_35),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).

fof(f5104,plain,
    elem_34 != i,
    inference(forward_demodulation,[],[f5103,f594]) ).

fof(f594,axiom,
    elem_34 = s(elem_31),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp45) ).

fof(f5103,plain,
    i != s(elem_31),
    inference(forward_demodulation,[],[f5102,f592]) ).

fof(f5102,plain,
    i != s(s(elem_28)),
    inference(forward_demodulation,[],[f5101,f590]) ).

fof(f5101,plain,
    i != s(s(s(elem_25))),
    inference(forward_demodulation,[],[f5100,f588]) ).

fof(f5100,plain,
    i != s(s(s(s(elem_22)))),
    inference(forward_demodulation,[],[f5099,f586]) ).

fof(f5099,plain,
    i != s(s(s(s(s(elem_19))))),
    inference(forward_demodulation,[],[f5098,f583]) ).

fof(f5098,plain,
    i != s(s(s(s(s(s(elem_16)))))),
    inference(forward_demodulation,[],[f5097,f581]) ).

fof(f5097,plain,
    i != s(s(s(s(s(s(s(elem_13))))))),
    inference(forward_demodulation,[],[f5096,f579]) ).

fof(f5096,plain,
    i != s(s(s(s(s(s(s(s(elem_10)))))))),
    inference(forward_demodulation,[],[f5095,f577]) ).

fof(f5095,plain,
    i != s(s(s(s(s(s(s(s(s(elem_7))))))))),
    inference(forward_demodulation,[],[f5094,f614]) ).

fof(f5094,plain,
    i != s(s(s(s(s(s(s(s(s(s(elem_4)))))))))),
    inference(forward_demodulation,[],[f4851,f598]) ).

fof(f4851,plain,
    i != s(s(s(s(s(s(s(s(s(s(s(elem_0))))))))))),
    inference(superposition,[],[f537,f575]) ).

fof(f537,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(f6053,plain,
    select(earray_39,i) = select(earray_36,i),
    inference(unit_resulting_resolution,[],[f5723,f2904]) ).

fof(f2904,plain,
    ! [X0] :
      ( select(earray_36,X0) = select(earray_39,X0)
      | elem_37 = X0 ),
    inference(superposition,[],[f2,f559]) ).

fof(f559,axiom,
    earray_39 = store(earray_36,elem_37,elem_38),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).

fof(f5723,plain,
    elem_37 != i,
    inference(forward_demodulation,[],[f5722,f596]) ).

fof(f596,axiom,
    elem_37 = s(elem_34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp47) ).

fof(f5722,plain,
    i != s(elem_34),
    inference(forward_demodulation,[],[f5721,f594]) ).

fof(f5721,plain,
    i != s(s(elem_31)),
    inference(forward_demodulation,[],[f5720,f592]) ).

fof(f5720,plain,
    i != s(s(s(elem_28))),
    inference(forward_demodulation,[],[f5719,f590]) ).

fof(f5719,plain,
    i != s(s(s(s(elem_25)))),
    inference(forward_demodulation,[],[f5718,f588]) ).

fof(f5718,plain,
    i != s(s(s(s(s(elem_22))))),
    inference(forward_demodulation,[],[f5717,f586]) ).

fof(f5717,plain,
    i != s(s(s(s(s(s(elem_19)))))),
    inference(forward_demodulation,[],[f5716,f583]) ).

fof(f5716,plain,
    i != s(s(s(s(s(s(s(elem_16))))))),
    inference(forward_demodulation,[],[f5715,f581]) ).

fof(f5715,plain,
    i != s(s(s(s(s(s(s(s(elem_13)))))))),
    inference(forward_demodulation,[],[f5714,f579]) ).

fof(f5714,plain,
    i != s(s(s(s(s(s(s(s(s(elem_10))))))))),
    inference(forward_demodulation,[],[f5713,f577]) ).

fof(f5713,plain,
    i != s(s(s(s(s(s(s(s(s(s(elem_7)))))))))),
    inference(forward_demodulation,[],[f5712,f614]) ).

fof(f5712,plain,
    i != s(s(s(s(s(s(s(s(s(s(s(elem_4))))))))))),
    inference(forward_demodulation,[],[f5453,f598]) ).

fof(f5453,plain,
    i != s(s(s(s(s(s(s(s(s(s(s(s(elem_0)))))))))))),
    inference(superposition,[],[f536,f575]) ).

fof(f536,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(f9803,plain,
    elem_1 = select(earray_12,i),
    inference(superposition,[],[f9761,f3226]) ).

fof(f3226,plain,
    select(earray_12,i) = select(earray_9,i),
    inference(unit_resulting_resolution,[],[f946,f2893]) ).

fof(f2893,plain,
    ! [X0] :
      ( select(earray_12,X0) = select(earray_9,X0)
      | elem_10 = X0 ),
    inference(superposition,[],[f2,f549]) ).

fof(f549,axiom,
    earray_12 = store(earray_9,elem_10,elem_11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).

fof(f946,plain,
    elem_10 != i,
    inference(forward_demodulation,[],[f945,f577]) ).

fof(f945,plain,
    i != s(elem_7),
    inference(forward_demodulation,[],[f944,f614]) ).

fof(f944,plain,
    i != s(s(elem_4)),
    inference(forward_demodulation,[],[f866,f598]) ).

fof(f866,plain,
    i != s(s(s(elem_0))),
    inference(superposition,[],[f545,f575]) ).

fof(f545,axiom,
    ! [X4] : s(s(s(s(X4)))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as4) ).

fof(f9761,plain,
    elem_1 = select(earray_9,i),
    inference(forward_demodulation,[],[f9760,f5317]) ).

fof(f5317,plain,
    elem_1 = select(earray_3,i),
    inference(forward_demodulation,[],[f5215,f576]) ).

fof(f576,axiom,
    elem_1 = select(a,i),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp27) ).

fof(f5215,plain,
    select(a,i) = select(earray_3,i),
    inference(unit_resulting_resolution,[],[f654,f2900]) ).

fof(f2900,plain,
    ! [X0] :
      ( select(earray_3,X0) = select(a,X0)
      | elem_0 = X0 ),
    inference(superposition,[],[f2,f555]) ).

fof(f555,axiom,
    earray_3 = store(a,elem_0,elem_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).

fof(f654,plain,
    elem_0 != i,
    inference(superposition,[],[f548,f575]) ).

fof(f548,axiom,
    ! [X4] : s(X4) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as1) ).

fof(f9760,plain,
    select(earray_9,i) = select(earray_3,i),
    inference(subsumption_resolution,[],[f9560,f819]) ).

fof(f819,plain,
    elem_7 != i,
    inference(forward_demodulation,[],[f818,f614]) ).

fof(f818,plain,
    i != s(elem_4),
    inference(forward_demodulation,[],[f768,f598]) ).

fof(f768,plain,
    i != s(s(elem_0)),
    inference(superposition,[],[f546,f575]) ).

fof(f546,axiom,
    ! [X4] : s(s(s(X4))) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as3) ).

fof(f9560,plain,
    ( select(earray_9,i) = select(earray_3,i)
    | elem_7 = i ),
    inference(superposition,[],[f2914,f4712]) ).

fof(f4712,plain,
    select(earray_3,i) = select(earray_6,i),
    inference(unit_resulting_resolution,[],[f710,f2899]) ).

fof(f2899,plain,
    ! [X0] :
      ( select(earray_3,X0) = select(earray_6,X0)
      | elem_4 = X0 ),
    inference(superposition,[],[f2,f569]) ).

fof(f569,axiom,
    earray_6 = store(earray_3,elem_4,elem_5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).

fof(f710,plain,
    elem_4 != i,
    inference(forward_demodulation,[],[f693,f598]) ).

fof(f693,plain,
    i != s(elem_0),
    inference(superposition,[],[f547,f575]) ).

fof(f547,axiom,
    ! [X4] : s(s(X4)) != X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',as2) ).

fof(f2914,plain,
    ! [X0] :
      ( select(earray_9,X0) = select(earray_6,X0)
      | elem_7 = X0 ),
    inference(superposition,[],[f2,f574]) ).

fof(f574,axiom,
    earray_9 = store(earray_6,elem_7,elem_8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).

fof(f584,axiom,
    elem_2 = s(elem_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp35) ).

fof(f612,axiom,
    elem_61 = s(elem_63),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp63) ).

fof(f611,axiom,
    elem_59 = s(elem_61),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp62) ).

fof(f578,axiom,
    elem_11 = s(elem_8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp29) ).

fof(f609,axiom,
    elem_55 = s(elem_57),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp60) ).

fof(f608,axiom,
    elem_53 = s(elem_55),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp59) ).

fof(f607,axiom,
    elem_51 = s(elem_53),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp58) ).

fof(f606,axiom,
    elem_49 = s(elem_51),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp57) ).

fof(f604,axiom,
    elem_47 = s(elem_49),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp55) ).

fof(f603,axiom,
    elem_45 = s(elem_47),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp54) ).

fof(f602,axiom,
    elem_43 = s(elem_45),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp53) ).

fof(f601,axiom,
    elem_41 = s(elem_43),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp52) ).

fof(f600,axiom,
    elem_40 = s(elem_41),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp51) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV567-1.013 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n007.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   : Fri May  3 21:18:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (25718)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.71  % (25825)WARNING: value z3 for option sas not known
% 0.52/0.72  % (25826)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.52/0.72  % (25822)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.52/0.72  % (25827)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)
% 0.52/0.72  % (25828)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)
% 0.52/0.72  % (25829)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)
% 0.52/0.72  % (25824)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.52/0.72  % (25825)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)
% 5.14/1.39  % (25829)First to succeed.
% 5.14/1.39  % (25829)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25718"
% 5.14/1.39  % (25829)Refutation found. Thanks to Tanya!
% 5.14/1.39  % SZS status Unsatisfiable for theBenchmark
% 5.14/1.39  % SZS output start Proof for theBenchmark
% See solution above
% 5.14/1.39  % (25829)------------------------------
% 5.14/1.39  % (25829)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 5.14/1.39  % (25829)Termination reason: Refutation
% 5.14/1.39  
% 5.14/1.39  % (25829)Memory used [KB]: 4738
% 5.14/1.39  % (25829)Time elapsed: 0.676 s
% 5.14/1.39  % (25829)Instructions burned: 3240 (million)
% 5.14/1.39  % (25718)Success in time 1.003 s
%------------------------------------------------------------------------------