TSTP Solution File: SWV567-1.014 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV567-1.014 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 : Sat May  4 09:50:35 EDT 2024

% Result   : Unsatisfiable 4.25s 1.91s
% Output   : CNFRefutation 4.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   55
% Syntax   : Number of clauses     :  170 ( 142 unt;  28 nHn; 140 RR)
%            Number of literals    :  240 ( 239 equ;  38 neg)
%            Maximal clause size   :    8 (   1 avg)
%            Maximal term depth    :    8 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   59 (  59 usr;  56 con; 0-3 aty)
%            Number of variables   :   61 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(hyp26,hypothesis,
    earray_71 = store(earray_69,i,elem_70),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp26) ).

cnf(hyp72,hypothesis,
    earray_42 = earray_71,
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp72) ).

cnf(a2,axiom,
    ( X1 = X2
    | select(store(X3,X1,X4),X2) = select(X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',a2) ).

cnf(hyp25,hypothesis,
    earray_69 = store(earray_67,elem_0,elem_68),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp25) ).

cnf(hyp11,hypothesis,
    earray_42 = store(earray_39,elem_40,elem_41),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp11) ).

cnf(hyp10,hypothesis,
    earray_39 = store(earray_36,elem_37,elem_38),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp10) ).

cnf(hyp24,hypothesis,
    earray_67 = store(earray_65,elem_4,elem_66),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp24) ).

cnf(hyp9,hypothesis,
    earray_36 = store(earray_33,elem_34,elem_35),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp9) ).

cnf(hyp23,hypothesis,
    earray_65 = store(earray_63,elem_7,elem_64),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp23) ).

cnf(hyp8,hypothesis,
    earray_33 = store(earray_30,elem_31,elem_32),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp8) ).

cnf(hyp22,hypothesis,
    earray_63 = store(earray_61,elem_10,elem_62),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp22) ).

cnf(hyp7,hypothesis,
    earray_30 = store(earray_27,elem_28,elem_29),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp7) ).

cnf(hyp21,hypothesis,
    earray_61 = store(earray_59,elem_13,elem_60),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp21) ).

cnf(hyp5,hypothesis,
    earray_27 = store(earray_24,elem_25,elem_26),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp5) ).

cnf(hyp19,hypothesis,
    earray_59 = store(earray_57,elem_16,elem_58),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp19) ).

cnf(as2,axiom,
    s(s(X1)) != X1,
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',as2) ).

cnf(as4,axiom,
    s(s(s(s(X1)))) != X1,
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',as4) ).

cnf(as7,axiom,
    s(s(s(s(s(s(s(X1))))))) != X1,
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',as7) ).

cnf(as6,axiom,
    s(s(s(s(s(s(X1)))))) != X1,
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',as6) ).

cnf(as5,axiom,
    s(s(s(s(s(X1))))) != X1,
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',as5) ).

cnf(as3,axiom,
    s(s(s(X1))) != X1,
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',as3) ).

cnf(as1,axiom,
    s(X1) != X1,
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',as1) ).

cnf(hyp4,hypothesis,
    earray_24 = store(earray_21,elem_22,elem_23),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp4) ).

cnf(a1,axiom,
    select(store(X1,X2,X3),X2) = X3,
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',a1) ).

cnf(hyp18,hypothesis,
    earray_57 = store(earray_55,elem_19,elem_56),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp18) ).

cnf(hyp34,hypothesis,
    elem_16 = s(elem_13),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp34) ).

cnf(hyp36,hypothesis,
    elem_19 = s(elem_16),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp36) ).

cnf(hyp30,hypothesis,
    elem_10 = s(elem_7),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp30) ).

cnf(hyp32,hypothesis,
    elem_13 = s(elem_10),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp32) ).

cnf(hyp28,hypothesis,
    elem_0 = s(i),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp28) ).

cnf(hyp51,hypothesis,
    elem_4 = s(elem_0),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp51) ).

cnf(hyp69,hypothesis,
    elem_7 = s(elem_4),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp69) ).

cnf(hyp3,hypothesis,
    earray_21 = store(earray_18,elem_19,elem_20),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp3) ).

cnf(hyp39,hypothesis,
    elem_22 = s(elem_19),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp39) ).

cnf(hyp41,hypothesis,
    elem_25 = s(elem_22),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp41) ).

cnf(hyp43,hypothesis,
    elem_28 = s(elem_25),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp43) ).

cnf(hyp45,hypothesis,
    elem_31 = s(elem_28),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp45) ).

cnf(hyp47,hypothesis,
    elem_34 = s(elem_31),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp47) ).

cnf(hyp49,hypothesis,
    elem_37 = s(elem_34),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp49) ).

cnf(hyp52,hypothesis,
    elem_40 = s(elem_37),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp52) ).

cnf(hyp62,hypothesis,
    s(elem_56) = elem_54,
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp62) ).

cnf(hyp40,hypothesis,
    elem_23 = s(elem_20),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp40) ).

cnf(hyp61,hypothesis,
    s(elem_54) = elem_52,
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp61) ).

cnf(hyp42,hypothesis,
    elem_26 = s(elem_23),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp42) ).

cnf(hyp60,hypothesis,
    s(elem_52) = elem_50,
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp60) ).

cnf(hyp44,hypothesis,
    elem_29 = s(elem_26),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp44) ).

cnf(hyp59,hypothesis,
    s(elem_50) = elem_48,
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp59) ).

cnf(hyp46,hypothesis,
    elem_32 = s(elem_29),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp46) ).

cnf(hyp57,hypothesis,
    s(elem_48) = elem_46,
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp57) ).

cnf(hyp48,hypothesis,
    elem_35 = s(elem_32),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp48) ).

cnf(hyp56,hypothesis,
    s(elem_46) = elem_44,
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp56) ).

cnf(hyp50,hypothesis,
    elem_38 = s(elem_35),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp50) ).

cnf(goal,negated_conjecture,
    elem_41 != elem_43,
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',goal) ).

cnf(hyp55,hypothesis,
    s(elem_44) = elem_43,
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp55) ).

cnf(hyp53,hypothesis,
    elem_41 = s(elem_38),
    file('/export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p',hyp53) ).

cnf(c_0_55,hypothesis,
    earray_71 = store(earray_69,i,elem_70),
    hyp26 ).

cnf(c_0_56,hypothesis,
    earray_42 = earray_71,
    hyp72 ).

cnf(c_0_57,axiom,
    ( X1 = X2
    | select(store(X3,X1,X4),X2) = select(X3,X2) ),
    a2 ).

cnf(c_0_58,hypothesis,
    store(earray_69,i,elem_70) = earray_42,
    inference(rw,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_59,hypothesis,
    earray_69 = store(earray_67,elem_0,elem_68),
    hyp25 ).

cnf(c_0_60,hypothesis,
    earray_42 = store(earray_39,elem_40,elem_41),
    hyp11 ).

cnf(c_0_61,hypothesis,
    earray_39 = store(earray_36,elem_37,elem_38),
    hyp10 ).

cnf(c_0_62,hypothesis,
    earray_67 = store(earray_65,elem_4,elem_66),
    hyp24 ).

cnf(c_0_63,hypothesis,
    ( select(earray_69,X1) = select(earray_42,X1)
    | i = X1 ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_64,hypothesis,
    ( select(earray_69,X1) = select(earray_67,X1)
    | elem_0 = X1 ),
    inference(spm,[status(thm)],[c_0_57,c_0_59]) ).

cnf(c_0_65,hypothesis,
    earray_36 = store(earray_33,elem_34,elem_35),
    hyp9 ).

cnf(c_0_66,hypothesis,
    ( select(earray_39,X1) = select(earray_42,X1)
    | elem_40 = X1 ),
    inference(spm,[status(thm)],[c_0_57,c_0_60]) ).

cnf(c_0_67,hypothesis,
    ( select(earray_39,X1) = select(earray_36,X1)
    | elem_37 = X1 ),
    inference(spm,[status(thm)],[c_0_57,c_0_61]) ).

cnf(c_0_68,hypothesis,
    earray_65 = store(earray_63,elem_7,elem_64),
    hyp23 ).

cnf(c_0_69,hypothesis,
    ( select(earray_67,X1) = select(earray_65,X1)
    | elem_4 = X1 ),
    inference(spm,[status(thm)],[c_0_57,c_0_62]) ).

cnf(c_0_70,hypothesis,
    ( select(earray_67,X1) = select(earray_42,X1)
    | elem_0 = X1
    | i = X1 ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_71,hypothesis,
    earray_33 = store(earray_30,elem_31,elem_32),
    hyp8 ).

cnf(c_0_72,hypothesis,
    ( select(earray_36,X1) = select(earray_33,X1)
    | elem_34 = X1 ),
    inference(spm,[status(thm)],[c_0_57,c_0_65]) ).

cnf(c_0_73,hypothesis,
    ( select(earray_36,X1) = select(earray_42,X1)
    | elem_37 = X1
    | elem_40 = X1 ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_74,hypothesis,
    earray_63 = store(earray_61,elem_10,elem_62),
    hyp22 ).

cnf(c_0_75,hypothesis,
    ( select(earray_65,X1) = select(earray_63,X1)
    | elem_7 = X1 ),
    inference(spm,[status(thm)],[c_0_57,c_0_68]) ).

cnf(c_0_76,hypothesis,
    ( select(earray_65,X1) = select(earray_42,X1)
    | i = X1
    | elem_0 = X1
    | elem_4 = X1 ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_77,hypothesis,
    earray_30 = store(earray_27,elem_28,elem_29),
    hyp7 ).

cnf(c_0_78,hypothesis,
    ( select(earray_33,X1) = select(earray_30,X1)
    | elem_31 = X1 ),
    inference(spm,[status(thm)],[c_0_57,c_0_71]) ).

cnf(c_0_79,hypothesis,
    ( select(earray_33,X1) = select(earray_42,X1)
    | elem_40 = X1
    | elem_37 = X1
    | elem_34 = X1 ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_80,hypothesis,
    earray_61 = store(earray_59,elem_13,elem_60),
    hyp21 ).

cnf(c_0_81,hypothesis,
    ( select(earray_63,X1) = select(earray_61,X1)
    | elem_10 = X1 ),
    inference(spm,[status(thm)],[c_0_57,c_0_74]) ).

cnf(c_0_82,hypothesis,
    ( select(earray_63,X1) = select(earray_42,X1)
    | elem_4 = X1
    | elem_0 = X1
    | i = X1
    | elem_7 = X1 ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_83,hypothesis,
    earray_27 = store(earray_24,elem_25,elem_26),
    hyp5 ).

cnf(c_0_84,hypothesis,
    ( select(earray_30,X1) = select(earray_27,X1)
    | elem_28 = X1 ),
    inference(spm,[status(thm)],[c_0_57,c_0_77]) ).

cnf(c_0_85,hypothesis,
    ( select(earray_30,X1) = select(earray_42,X1)
    | elem_34 = X1
    | elem_37 = X1
    | elem_40 = X1
    | elem_31 = X1 ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_86,hypothesis,
    earray_59 = store(earray_57,elem_16,elem_58),
    hyp19 ).

cnf(c_0_87,hypothesis,
    ( select(earray_61,X1) = select(earray_59,X1)
    | elem_13 = X1 ),
    inference(spm,[status(thm)],[c_0_57,c_0_80]) ).

cnf(c_0_88,hypothesis,
    ( select(earray_61,X1) = select(earray_42,X1)
    | elem_7 = X1
    | i = X1
    | elem_0 = X1
    | elem_4 = X1
    | elem_10 = X1 ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_89,plain,
    s(s(X1)) != X1,
    inference(fof_simplification,[status(thm)],[as2]) ).

cnf(c_0_90,plain,
    s(s(s(s(X1)))) != X1,
    inference(fof_simplification,[status(thm)],[as4]) ).

cnf(c_0_91,plain,
    s(s(s(s(s(s(s(X1))))))) != X1,
    inference(fof_simplification,[status(thm)],[as7]) ).

cnf(c_0_92,plain,
    s(s(s(s(s(s(X1)))))) != X1,
    inference(fof_simplification,[status(thm)],[as6]) ).

cnf(c_0_93,plain,
    s(s(s(s(s(X1))))) != X1,
    inference(fof_simplification,[status(thm)],[as5]) ).

cnf(c_0_94,plain,
    s(s(s(X1))) != X1,
    inference(fof_simplification,[status(thm)],[as3]) ).

cnf(c_0_95,plain,
    s(X1) != X1,
    inference(fof_simplification,[status(thm)],[as1]) ).

cnf(c_0_96,hypothesis,
    earray_24 = store(earray_21,elem_22,elem_23),
    hyp4 ).

cnf(c_0_97,hypothesis,
    ( select(earray_27,X1) = select(earray_24,X1)
    | elem_25 = X1 ),
    inference(spm,[status(thm)],[c_0_57,c_0_83]) ).

cnf(c_0_98,hypothesis,
    ( select(earray_27,X1) = select(earray_42,X1)
    | elem_31 = X1
    | elem_40 = X1
    | elem_37 = X1
    | elem_34 = X1
    | elem_28 = X1 ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_99,axiom,
    select(store(X1,X2,X3),X2) = X3,
    a1 ).

cnf(c_0_100,hypothesis,
    earray_57 = store(earray_55,elem_19,elem_56),
    hyp18 ).

cnf(c_0_101,hypothesis,
    ( select(earray_59,X1) = select(earray_57,X1)
    | elem_16 = X1 ),
    inference(spm,[status(thm)],[c_0_57,c_0_86]) ).

cnf(c_0_102,hypothesis,
    ( select(earray_59,X1) = select(earray_42,X1)
    | elem_10 = X1
    | elem_4 = X1
    | elem_0 = X1
    | i = X1
    | elem_7 = X1
    | elem_13 = X1 ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_103,plain,
    s(s(X1)) != X1,
    c_0_89 ).

cnf(c_0_104,hypothesis,
    elem_16 = s(elem_13),
    hyp34 ).

cnf(c_0_105,hypothesis,
    elem_19 = s(elem_16),
    hyp36 ).

cnf(c_0_106,plain,
    s(s(s(s(X1)))) != X1,
    c_0_90 ).

cnf(c_0_107,hypothesis,
    elem_10 = s(elem_7),
    hyp30 ).

cnf(c_0_108,hypothesis,
    elem_13 = s(elem_10),
    hyp32 ).

cnf(c_0_109,plain,
    s(s(s(s(s(s(s(X1))))))) != X1,
    c_0_91 ).

cnf(c_0_110,hypothesis,
    elem_0 = s(i),
    hyp28 ).

cnf(c_0_111,hypothesis,
    elem_4 = s(elem_0),
    hyp51 ).

cnf(c_0_112,hypothesis,
    elem_7 = s(elem_4),
    hyp69 ).

cnf(c_0_113,plain,
    s(s(s(s(s(s(X1)))))) != X1,
    c_0_92 ).

cnf(c_0_114,plain,
    s(s(s(s(s(X1))))) != X1,
    c_0_93 ).

cnf(c_0_115,plain,
    s(s(s(X1))) != X1,
    c_0_94 ).

cnf(c_0_116,plain,
    s(X1) != X1,
    c_0_95 ).

cnf(c_0_117,hypothesis,
    earray_21 = store(earray_18,elem_19,elem_20),
    hyp3 ).

cnf(c_0_118,hypothesis,
    ( select(earray_24,X1) = select(earray_21,X1)
    | elem_22 = X1 ),
    inference(spm,[status(thm)],[c_0_57,c_0_96]) ).

cnf(c_0_119,hypothesis,
    ( select(earray_24,X1) = select(earray_42,X1)
    | elem_28 = X1
    | elem_34 = X1
    | elem_37 = X1
    | elem_40 = X1
    | elem_31 = X1
    | elem_25 = X1 ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_120,hypothesis,
    select(earray_57,elem_19) = elem_56,
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_121,hypothesis,
    ( select(earray_57,X1) = select(earray_42,X1)
    | elem_13 = X1
    | elem_7 = X1
    | i = X1
    | elem_0 = X1
    | elem_4 = X1
    | elem_10 = X1
    | elem_16 = X1 ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_122,hypothesis,
    elem_19 != elem_13,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).

cnf(c_0_123,hypothesis,
    elem_19 != elem_7,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_104]),c_0_105]) ).

cnf(c_0_124,hypothesis,
    i != elem_19,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]),c_0_112]),c_0_107]),c_0_108]),c_0_104]),c_0_105]) ).

cnf(c_0_125,hypothesis,
    elem_0 != elem_19,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_111]),c_0_112]),c_0_107]),c_0_108]),c_0_104]),c_0_105]) ).

cnf(c_0_126,hypothesis,
    elem_4 != elem_19,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_112]),c_0_107]),c_0_108]),c_0_104]),c_0_105]) ).

cnf(c_0_127,hypothesis,
    elem_19 != elem_10,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_108]),c_0_104]),c_0_105]) ).

cnf(c_0_128,hypothesis,
    elem_19 != elem_16,
    inference(spm,[status(thm)],[c_0_116,c_0_105]) ).

cnf(c_0_129,hypothesis,
    elem_22 = s(elem_19),
    hyp39 ).

cnf(c_0_130,hypothesis,
    elem_25 = s(elem_22),
    hyp41 ).

cnf(c_0_131,hypothesis,
    elem_28 = s(elem_25),
    hyp43 ).

cnf(c_0_132,hypothesis,
    elem_31 = s(elem_28),
    hyp45 ).

cnf(c_0_133,hypothesis,
    elem_34 = s(elem_31),
    hyp47 ).

cnf(c_0_134,hypothesis,
    elem_37 = s(elem_34),
    hyp49 ).

cnf(c_0_135,hypothesis,
    elem_40 = s(elem_37),
    hyp52 ).

cnf(c_0_136,hypothesis,
    select(earray_21,elem_19) = elem_20,
    inference(spm,[status(thm)],[c_0_99,c_0_117]) ).

cnf(c_0_137,hypothesis,
    ( select(earray_21,X1) = select(earray_42,X1)
    | elem_25 = X1
    | elem_31 = X1
    | elem_40 = X1
    | elem_37 = X1
    | elem_34 = X1
    | elem_28 = X1
    | elem_22 = X1 ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_138,hypothesis,
    select(earray_42,elem_19) = elem_56,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]),c_0_123]),c_0_124]),c_0_125]),c_0_126]),c_0_127]),c_0_128]) ).

cnf(c_0_139,hypothesis,
    elem_25 != elem_19,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_129]),c_0_130]) ).

cnf(c_0_140,hypothesis,
    elem_31 != elem_19,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_129]),c_0_130]),c_0_131]),c_0_132]) ).

cnf(c_0_141,hypothesis,
    elem_40 != elem_19,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_129]),c_0_130]),c_0_131]),c_0_132]),c_0_133]),c_0_134]),c_0_135]) ).

cnf(c_0_142,hypothesis,
    elem_37 != elem_19,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_129]),c_0_130]),c_0_131]),c_0_132]),c_0_133]),c_0_134]) ).

cnf(c_0_143,hypothesis,
    elem_34 != elem_19,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_129]),c_0_130]),c_0_131]),c_0_132]),c_0_133]) ).

cnf(c_0_144,hypothesis,
    elem_28 != elem_19,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_129]),c_0_130]),c_0_131]) ).

cnf(c_0_145,hypothesis,
    elem_22 != elem_19,
    inference(spm,[status(thm)],[c_0_116,c_0_129]) ).

cnf(c_0_146,hypothesis,
    s(elem_56) = elem_54,
    hyp62 ).

cnf(c_0_147,hypothesis,
    elem_56 = elem_20,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]),c_0_139]),c_0_140]),c_0_141]),c_0_142]),c_0_143]),c_0_144]),c_0_145]) ).

cnf(c_0_148,hypothesis,
    elem_23 = s(elem_20),
    hyp40 ).

cnf(c_0_149,hypothesis,
    s(elem_54) = elem_52,
    hyp61 ).

cnf(c_0_150,hypothesis,
    elem_54 = elem_23,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_147]),c_0_148]) ).

cnf(c_0_151,hypothesis,
    elem_26 = s(elem_23),
    hyp42 ).

cnf(c_0_152,hypothesis,
    s(elem_52) = elem_50,
    hyp60 ).

cnf(c_0_153,hypothesis,
    elem_52 = elem_26,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_150]),c_0_151]) ).

cnf(c_0_154,hypothesis,
    elem_29 = s(elem_26),
    hyp44 ).

cnf(c_0_155,hypothesis,
    s(elem_50) = elem_48,
    hyp59 ).

cnf(c_0_156,hypothesis,
    elem_50 = elem_29,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_153]),c_0_154]) ).

cnf(c_0_157,hypothesis,
    elem_32 = s(elem_29),
    hyp46 ).

cnf(c_0_158,hypothesis,
    s(elem_48) = elem_46,
    hyp57 ).

cnf(c_0_159,hypothesis,
    elem_48 = elem_32,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_156]),c_0_157]) ).

cnf(c_0_160,hypothesis,
    elem_35 = s(elem_32),
    hyp48 ).

cnf(c_0_161,hypothesis,
    s(elem_46) = elem_44,
    hyp56 ).

cnf(c_0_162,hypothesis,
    elem_46 = elem_35,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_159]),c_0_160]) ).

cnf(c_0_163,hypothesis,
    elem_38 = s(elem_35),
    hyp50 ).

cnf(c_0_164,negated_conjecture,
    elem_41 != elem_43,
    inference(fof_simplification,[status(thm)],[goal]) ).

cnf(c_0_165,hypothesis,
    s(elem_44) = elem_43,
    hyp55 ).

cnf(c_0_166,hypothesis,
    elem_44 = elem_38,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).

cnf(c_0_167,hypothesis,
    elem_41 = s(elem_38),
    hyp53 ).

cnf(c_0_168,negated_conjecture,
    elem_41 != elem_43,
    c_0_164 ).

cnf(c_0_169,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_166]),c_0_167]),c_0_168]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.52  % Problem    : SWV567-1.014 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.53  % Command    : run_E %s %d THM
% 0.56/0.74  % Computer : n026.cluster.edu
% 0.56/0.74  % Model    : x86_64 x86_64
% 0.56/0.74  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.56/0.74  % Memory   : 8042.1875MB
% 0.56/0.74  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.56/0.74  % CPULimit   : 300
% 0.56/0.74  % WCLimit    : 300
% 0.56/0.74  % DateTime   : Fri May  3 17:12:08 EDT 2024
% 0.56/0.75  % CPUTime    : 
% 1.14/1.32  Running first-order theorem proving
% 1.14/1.32  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.Bwm87Zug9i/E---3.1_23489.p
% 4.25/1.91  # Version: 3.1.0
% 4.25/1.91  # Preprocessing class: FSLSSMSMSSSNFFN.
% 4.25/1.91  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.25/1.91  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 4.25/1.91  # Starting new_bool_3 with 300s (1) cores
% 4.25/1.91  # Starting new_bool_1 with 300s (1) cores
% 4.25/1.91  # Starting sh5l with 300s (1) cores
% 4.25/1.91  # new_bool_1 with pid 23678 completed with status 0
% 4.25/1.91  # Result found by new_bool_1
% 4.25/1.91  # Preprocessing class: FSLSSMSMSSSNFFN.
% 4.25/1.91  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.25/1.91  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 4.25/1.91  # Starting new_bool_3 with 300s (1) cores
% 4.25/1.91  # Starting new_bool_1 with 300s (1) cores
% 4.25/1.91  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.25/1.91  # Search class: FGUPF-FSLM32-DFFFFFNN
% 4.25/1.91  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.25/1.91  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 4.25/1.91  # SAT001_MinMin_p005000_rr_RG with pid 23686 completed with status 0
% 4.25/1.91  # Result found by SAT001_MinMin_p005000_rr_RG
% 4.25/1.91  # Preprocessing class: FSLSSMSMSSSNFFN.
% 4.25/1.91  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.25/1.91  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 4.25/1.91  # Starting new_bool_3 with 300s (1) cores
% 4.25/1.91  # Starting new_bool_1 with 300s (1) cores
% 4.25/1.91  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.25/1.91  # Search class: FGUPF-FSLM32-DFFFFFNN
% 4.25/1.91  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.25/1.91  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 4.25/1.91  # Preprocessing time       : 0.044 s
% 4.25/1.91  # Presaturation interreduction done
% 4.25/1.91  
% 4.25/1.91  # Proof found!
% 4.25/1.91  # SZS status Unsatisfiable
% 4.25/1.91  # SZS output start CNFRefutation
% See solution above
% 4.25/1.91  # Parsed axioms                        : 706
% 4.25/1.91  # Removed by relevancy pruning/SinE    : 0
% 4.25/1.91  # Initial clauses                      : 706
% 4.25/1.91  # Removed in clause preprocessing      : 0
% 4.25/1.91  # Initial clauses in saturation        : 706
% 4.25/1.91  # Processed clauses                    : 1800
% 4.25/1.91  # ...of these trivial                  : 0
% 4.25/1.91  # ...subsumed                          : 8
% 4.25/1.91  # ...remaining for further processing  : 1792
% 4.25/1.91  # Other redundant clauses eliminated   : 0
% 4.25/1.91  # Clauses deleted for lack of memory   : 0
% 4.25/1.91  # Backward-subsumed                    : 0
% 4.25/1.91  # Backward-rewritten                   : 202
% 4.25/1.91  # Generated clauses                    : 3342
% 4.25/1.91  # ...of the previous two non-redundant : 3543
% 4.25/1.91  # ...aggressively subsumed             : 0
% 4.25/1.91  # Contextual simplify-reflections      : 0
% 4.25/1.91  # Paramodulations                      : 3342
% 4.25/1.91  # Factorizations                       : 0
% 4.25/1.91  # NegExts                              : 0
% 4.25/1.91  # Equation resolutions                 : 0
% 4.25/1.91  # Disequality decompositions           : 0
% 4.25/1.91  # Total rewrite steps                  : 20035
% 4.25/1.91  # ...of those cached                   : 19987
% 4.25/1.91  # Propositional unsat checks           : 0
% 4.25/1.91  #    Propositional check models        : 0
% 4.25/1.91  #    Propositional check unsatisfiable : 0
% 4.25/1.91  #    Propositional clauses             : 0
% 4.25/1.91  #    Propositional clauses after purity: 0
% 4.25/1.91  #    Propositional unsat core size     : 0
% 4.25/1.91  #    Propositional preprocessing time  : 0.000
% 4.25/1.91  #    Propositional encoding time       : 0.000
% 4.25/1.91  #    Propositional solver time         : 0.000
% 4.25/1.91  #    Success case prop preproc time    : 0.000
% 4.25/1.91  #    Success case prop encoding time   : 0.000
% 4.25/1.91  #    Success case prop solver time     : 0.000
% 4.25/1.91  # Current number of processed clauses  : 884
% 4.25/1.91  #    Positive orientable unit clauses  : 105
% 4.25/1.91  #    Positive unorientable unit clauses: 0
% 4.25/1.91  #    Negative unit clauses             : 735
% 4.25/1.91  #    Non-unit-clauses                  : 44
% 4.25/1.91  # Current number of unprocessed clauses: 3130
% 4.25/1.91  # ...number of literals in the above   : 3146
% 4.25/1.91  # Current number of archived formulas  : 0
% 4.25/1.91  # Current number of archived clauses   : 908
% 4.25/1.91  # Clause-clause subsumption calls (NU) : 223
% 4.25/1.91  # Rec. Clause-clause subsumption calls : 18
% 4.25/1.91  # Non-unit clause-clause subsumptions  : 0
% 4.25/1.91  # Unit Clause-clause subsumption calls : 116184
% 4.25/1.91  # Rewrite failures with RHS unbound    : 0
% 4.25/1.91  # BW rewrite match attempts            : 21
% 4.25/1.91  # BW rewrite match successes           : 21
% 4.25/1.91  # Condensation attempts                : 0
% 4.25/1.91  # Condensation successes               : 0
% 4.25/1.91  # Termbank termtop insertions          : 1048549
% 4.25/1.91  # Search garbage collected termcells   : 1262
% 4.25/1.91  
% 4.25/1.91  # -------------------------------------------------
% 4.25/1.91  # User time                : 0.444 s
% 4.25/1.91  # System time              : 0.021 s
% 4.25/1.91  # Total time               : 0.465 s
% 4.25/1.91  # Maximum resident set size: 3444 pages
% 4.25/1.91  
% 4.25/1.91  # -------------------------------------------------
% 4.25/1.91  # User time                : 0.544 s
% 4.25/1.91  # System time              : 0.026 s
% 4.25/1.91  # Total time               : 0.571 s
% 4.25/1.91  # Maximum resident set size: 2808 pages
% 4.25/1.91  % E---3.1 exiting
% 4.25/1.91  % E exiting
%------------------------------------------------------------------------------