TSTP Solution File: PUZ078+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : PUZ078+1 : TPTP v8.1.0. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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  : 600s
% DateTime : Mon Jul 18 18:08:28 EDT 2022

% Result   : Theorem 4.48s 2.21s
% Output   : CNFRefutation 4.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   37
% Syntax   : Number of clauses     :  137 (  52 unt;  51 nHn; 135 RR)
%            Number of literals    :  321 ( 186 equ;  92 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  11 con; 0-1 aty)
%            Number of variables   :   43 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_42,plain,
    ( truthday(X1)
    | truthday(monday)
    | truthday(tuesday)
    | ~ day1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_42) ).

cnf(i_0_52,negated_conjecture,
    ~ truthday(tuesday),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_52) ).

cnf(i_0_23,plain,
    ( X1 = X2
    | ~ truthday(X2)
    | ~ truthday(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_23) ).

cnf(i_0_27,plain,
    truthday(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_27) ).

cnf(i_0_28,plain,
    day1(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_28) ).

cnf(i_0_49,plain,
    ( truthday(X1)
    | truthday(wednesday)
    | truthday(friday)
    | ~ day3(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_49) ).

cnf(i_0_30,plain,
    day3(esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_30) ).

cnf(i_0_19,plain,
    monday != friday,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_19) ).

cnf(i_0_21,plain,
    monday != wednesday,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_21) ).

cnf(i_0_51,plain,
    ( ~ truthday(X1)
    | ~ day3(X1)
    | ~ truthday(wednesday) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_51) ).

cnf(i_0_50,plain,
    ( ~ truthday(X1)
    | ~ day3(X1)
    | ~ truthday(friday) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_50) ).

cnf(i_0_40,plain,
    ( day2(X1)
    | ~ day3(consecutive(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_40) ).

cnf(i_0_31,plain,
    consecutive(sunday) = monday,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_31) ).

cnf(i_0_45,plain,
    ( truthday(X1)
    | ~ day2(X1)
    | ~ day2(sunday) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_45) ).

cnf(i_0_29,plain,
    day2(esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_29) ).

cnf(i_0_25,plain,
    ( X1 = X2
    | ~ day2(X2)
    | ~ day2(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_25) ).

cnf(i_0_44,plain,
    ( ~ truthday(X1)
    | ~ day1(X1)
    | ~ truthday(monday) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_44) ).

cnf(i_0_39,plain,
    ( day2(consecutive(X1))
    | ~ day1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_39) ).

cnf(i_0_1,plain,
    ( X1 = monday
    | X1 = tuesday
    | X1 = wednesday
    | X1 = thursday
    | X1 = friday
    | X1 = saturday
    | X1 = sunday ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_1) ).

cnf(i_0_17,plain,
    monday != sunday,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_17) ).

cnf(i_0_26,plain,
    ( X1 = X2
    | ~ day3(X2)
    | ~ day3(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_26) ).

cnf(i_0_41,plain,
    ( day3(consecutive(X1))
    | ~ day2(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_41) ).

cnf(i_0_32,plain,
    consecutive(monday) = tuesday,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_32) ).

cnf(i_0_9,plain,
    saturday != wednesday,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_9) ).

cnf(i_0_4,plain,
    saturday != friday,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_4) ).

cnf(i_0_37,plain,
    consecutive(saturday) = sunday,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_37) ).

cnf(i_0_18,plain,
    monday != saturday,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_18) ).

cnf(i_0_36,plain,
    consecutive(friday) = saturday,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_36) ).

cnf(i_0_46,plain,
    ( truthday(X1)
    | ~ day2(X1)
    | ~ day2(saturday) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_46) ).

cnf(i_0_13,plain,
    saturday != tuesday,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_13) ).

cnf(i_0_6,plain,
    saturday != thursday,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_6) ).

cnf(i_0_35,plain,
    consecutive(thursday) = friday,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_35) ).

cnf(i_0_11,plain,
    thursday != wednesday,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_11) ).

cnf(i_0_7,plain,
    friday != thursday,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_7) ).

cnf(i_0_34,plain,
    consecutive(wednesday) = thursday,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_34) ).

cnf(i_0_47,plain,
    ( truthday(X1)
    | ~ day2(X1)
    | ~ day2(thursday) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_47) ).

cnf(i_0_15,plain,
    thursday != tuesday,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5kv0kb7/input.p',i_0_15) ).

cnf(c_0_90,plain,
    ( truthday(X1)
    | truthday(monday)
    | truthday(tuesday)
    | ~ day1(X1) ),
    i_0_42 ).

cnf(c_0_91,negated_conjecture,
    ~ truthday(tuesday),
    i_0_52 ).

cnf(c_0_92,plain,
    ( X1 = X2
    | ~ truthday(X2)
    | ~ truthday(X1) ),
    i_0_23 ).

cnf(c_0_93,plain,
    truthday(esk1_0),
    i_0_27 ).

cnf(c_0_94,plain,
    ( truthday(monday)
    | truthday(X1)
    | ~ day1(X1) ),
    inference(sr,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_95,plain,
    day1(esk2_0),
    i_0_28 ).

cnf(c_0_96,plain,
    ( X1 = esk1_0
    | ~ truthday(X1) ),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_97,plain,
    ( truthday(esk2_0)
    | truthday(monday) ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_98,plain,
    ( truthday(X1)
    | truthday(wednesday)
    | truthday(friday)
    | ~ day3(X1) ),
    i_0_49 ).

cnf(c_0_99,plain,
    day3(esk4_0),
    i_0_30 ).

cnf(c_0_100,plain,
    ( esk2_0 = esk1_0
    | truthday(monday) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_101,plain,
    ( truthday(esk4_0)
    | truthday(friday)
    | truthday(wednesday) ),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_102,plain,
    ( esk2_0 = esk1_0
    | X1 = monday
    | ~ truthday(X1) ),
    inference(spm,[status(thm)],[c_0_92,c_0_100]) ).

cnf(c_0_103,plain,
    ( esk4_0 = esk1_0
    | truthday(wednesday)
    | truthday(friday) ),
    inference(spm,[status(thm)],[c_0_96,c_0_101]) ).

cnf(c_0_104,plain,
    monday != friday,
    i_0_19 ).

cnf(c_0_105,plain,
    ( esk4_0 = esk1_0
    | esk2_0 = esk1_0
    | truthday(wednesday) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]) ).

cnf(c_0_106,plain,
    monday != wednesday,
    i_0_21 ).

cnf(c_0_107,plain,
    ( esk4_0 = esk1_0
    | esk2_0 = esk1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_105]),c_0_106]) ).

cnf(c_0_108,plain,
    ( ~ truthday(X1)
    | ~ day3(X1)
    | ~ truthday(wednesday) ),
    i_0_51 ).

cnf(c_0_109,plain,
    ( esk2_0 = esk1_0
    | day3(esk1_0) ),
    inference(spm,[status(thm)],[c_0_99,c_0_107]) ).

cnf(c_0_110,plain,
    ( ~ truthday(X1)
    | ~ day3(X1)
    | ~ truthday(friday) ),
    i_0_50 ).

cnf(c_0_111,plain,
    ( esk2_0 = esk1_0
    | ~ truthday(wednesday) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_93])]) ).

cnf(c_0_112,plain,
    ( esk2_0 = esk1_0
    | ~ truthday(friday) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_109]),c_0_93])]) ).

cnf(c_0_113,plain,
    ( day2(X1)
    | ~ day3(consecutive(X1)) ),
    i_0_40 ).

cnf(c_0_114,plain,
    consecutive(sunday) = monday,
    i_0_31 ).

cnf(c_0_115,plain,
    ( esk4_0 = monday
    | esk2_0 = esk1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_101]),c_0_111]),c_0_112]) ).

cnf(c_0_116,plain,
    ( truthday(X1)
    | ~ day2(X1)
    | ~ day2(sunday) ),
    i_0_45 ).

cnf(c_0_117,plain,
    day2(esk3_0),
    i_0_29 ).

cnf(c_0_118,plain,
    ( day2(sunday)
    | ~ day3(monday) ),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_119,plain,
    ( esk2_0 = esk1_0
    | day3(monday) ),
    inference(spm,[status(thm)],[c_0_99,c_0_115]) ).

cnf(c_0_120,plain,
    ( X1 = X2
    | ~ day2(X2)
    | ~ day2(X1) ),
    i_0_25 ).

cnf(c_0_121,plain,
    ( truthday(esk3_0)
    | ~ day2(sunday) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_122,plain,
    ( esk2_0 = esk1_0
    | day2(sunday) ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_123,plain,
    ( X1 = esk3_0
    | ~ day2(X1) ),
    inference(spm,[status(thm)],[c_0_120,c_0_117]) ).

cnf(c_0_124,plain,
    ( ~ truthday(X1)
    | ~ day1(X1)
    | ~ truthday(monday) ),
    i_0_44 ).

cnf(c_0_125,plain,
    ( esk2_0 = esk1_0
    | truthday(esk3_0) ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_126,plain,
    ( esk2_0 = esk1_0
    | esk3_0 = sunday ),
    inference(spm,[status(thm)],[c_0_123,c_0_122]) ).

cnf(c_0_127,plain,
    ( day2(consecutive(X1))
    | ~ day1(X1) ),
    i_0_39 ).

cnf(c_0_128,plain,
    ( ~ truthday(monday)
    | ~ truthday(esk2_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_95]) ).

cnf(c_0_129,plain,
    ( X1 = monday
    | X1 = tuesday
    | X1 = wednesday
    | X1 = thursday
    | X1 = friday
    | X1 = saturday
    | X1 = sunday ),
    i_0_1 ).

cnf(c_0_130,plain,
    ( esk2_0 = esk1_0
    | truthday(sunday) ),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_131,plain,
    monday != sunday,
    i_0_17 ).

cnf(c_0_132,plain,
    day2(consecutive(esk2_0)),
    inference(spm,[status(thm)],[c_0_127,c_0_95]) ).

cnf(c_0_133,plain,
    ( X1 = sunday
    | X1 = saturday
    | X1 = friday
    | X1 = thursday
    | X1 = wednesday
    | X1 = tuesday
    | ~ truthday(esk2_0)
    | ~ truthday(X1) ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_134,plain,
    esk2_0 = esk1_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_130]),c_0_131]) ).

cnf(c_0_135,plain,
    ( X1 = X2
    | ~ day3(X2)
    | ~ day3(X1) ),
    i_0_26 ).

cnf(c_0_136,plain,
    ( day3(consecutive(X1))
    | ~ day2(X1) ),
    i_0_41 ).

cnf(c_0_137,plain,
    consecutive(esk2_0) = esk3_0,
    inference(spm,[status(thm)],[c_0_123,c_0_132]) ).

cnf(c_0_138,plain,
    ( X1 = tuesday
    | X1 = wednesday
    | X1 = thursday
    | X1 = friday
    | X1 = saturday
    | X1 = sunday
    | ~ truthday(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_134]),c_0_93])]) ).

cnf(c_0_139,plain,
    ( X1 = esk4_0
    | ~ day3(X1) ),
    inference(spm,[status(thm)],[c_0_135,c_0_99]) ).

cnf(c_0_140,plain,
    day3(consecutive(esk3_0)),
    inference(spm,[status(thm)],[c_0_136,c_0_117]) ).

cnf(c_0_141,plain,
    consecutive(esk1_0) = esk3_0,
    inference(rw,[status(thm)],[c_0_137,c_0_134]) ).

cnf(c_0_142,plain,
    ( esk1_0 = sunday
    | esk1_0 = saturday
    | esk1_0 = friday
    | esk1_0 = thursday
    | esk1_0 = wednesday
    | esk1_0 = tuesday ),
    inference(spm,[status(thm)],[c_0_138,c_0_93]) ).

cnf(c_0_143,plain,
    ( esk4_0 = esk1_0
    | esk1_0 = friday
    | truthday(wednesday) ),
    inference(spm,[status(thm)],[c_0_96,c_0_103]) ).

cnf(c_0_144,plain,
    consecutive(esk3_0) = esk4_0,
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_145,plain,
    ( esk1_0 = tuesday
    | esk1_0 = wednesday
    | esk1_0 = thursday
    | esk1_0 = friday
    | esk1_0 = saturday
    | esk3_0 = monday ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_114]) ).

cnf(c_0_146,plain,
    consecutive(monday) = tuesday,
    i_0_32 ).

cnf(c_0_147,plain,
    ( esk1_0 = friday
    | esk4_0 = esk1_0
    | esk1_0 = wednesday ),
    inference(spm,[status(thm)],[c_0_96,c_0_143]) ).

cnf(c_0_148,plain,
    ( esk1_0 = saturday
    | esk1_0 = friday
    | esk1_0 = thursday
    | esk1_0 = wednesday
    | esk1_0 = tuesday
    | esk4_0 = tuesday ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]) ).

cnf(c_0_149,plain,
    ( esk1_0 = wednesday
    | esk1_0 = friday
    | day3(esk1_0) ),
    inference(spm,[status(thm)],[c_0_99,c_0_147]) ).

cnf(c_0_150,plain,
    ( esk1_0 = thursday
    | esk1_0 = saturday
    | esk1_0 = wednesday
    | esk1_0 = tuesday
    | esk1_0 = friday ),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_151,plain,
    saturday != wednesday,
    i_0_9 ).

cnf(c_0_152,plain,
    saturday != friday,
    i_0_4 ).

cnf(c_0_153,plain,
    consecutive(saturday) = sunday,
    i_0_37 ).

cnf(c_0_154,plain,
    ( esk1_0 = friday
    | esk1_0 = tuesday
    | esk1_0 = wednesday
    | esk1_0 = thursday
    | day3(saturday) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]),c_0_152]) ).

cnf(c_0_155,plain,
    ( esk1_0 = friday
    | esk1_0 = tuesday
    | esk1_0 = wednesday
    | esk1_0 = thursday
    | esk3_0 = sunday ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_150]),c_0_153]) ).

cnf(c_0_156,plain,
    ( esk1_0 = thursday
    | esk1_0 = wednesday
    | esk1_0 = tuesday
    | esk1_0 = friday
    | esk4_0 = saturday ),
    inference(spm,[status(thm)],[c_0_139,c_0_154]) ).

cnf(c_0_157,plain,
    ( esk1_0 = thursday
    | esk1_0 = wednesday
    | esk1_0 = tuesday
    | esk1_0 = friday
    | esk4_0 = monday ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_155]),c_0_114]) ).

cnf(c_0_158,plain,
    monday != saturday,
    i_0_18 ).

cnf(c_0_159,plain,
    ( esk1_0 = friday
    | esk1_0 = tuesday
    | esk1_0 = wednesday
    | esk1_0 = thursday ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158]) ).

cnf(c_0_160,plain,
    consecutive(friday) = saturday,
    i_0_36 ).

cnf(c_0_161,plain,
    ( truthday(X1)
    | ~ day2(X1)
    | ~ day2(saturday) ),
    i_0_46 ).

cnf(c_0_162,plain,
    ( esk1_0 = thursday
    | esk1_0 = wednesday
    | esk1_0 = tuesday
    | esk3_0 = saturday ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_159]),c_0_160]) ).

cnf(c_0_163,plain,
    ( truthday(esk3_0)
    | ~ day2(saturday) ),
    inference(spm,[status(thm)],[c_0_161,c_0_117]) ).

cnf(c_0_164,plain,
    ( esk1_0 = tuesday
    | esk1_0 = wednesday
    | esk1_0 = thursday
    | day2(saturday) ),
    inference(spm,[status(thm)],[c_0_117,c_0_162]) ).

cnf(c_0_165,plain,
    ( esk1_0 = thursday
    | esk1_0 = wednesday
    | esk1_0 = tuesday
    | truthday(esk3_0) ),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_166,plain,
    ( esk1_0 = tuesday
    | esk1_0 = wednesday
    | esk1_0 = thursday
    | truthday(saturday) ),
    inference(spm,[status(thm)],[c_0_165,c_0_162]) ).

cnf(c_0_167,plain,
    ( esk1_0 = thursday
    | esk1_0 = wednesday
    | esk1_0 = tuesday
    | esk1_0 = saturday ),
    inference(spm,[status(thm)],[c_0_96,c_0_166]) ).

cnf(c_0_168,plain,
    saturday != tuesday,
    i_0_13 ).

cnf(c_0_169,plain,
    saturday != thursday,
    i_0_6 ).

cnf(c_0_170,plain,
    ( esk1_0 = tuesday
    | esk1_0 = wednesday
    | esk1_0 = thursday ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_167]),c_0_152]),c_0_168]),c_0_151]),c_0_169]) ).

cnf(c_0_171,plain,
    consecutive(thursday) = friday,
    i_0_35 ).

cnf(c_0_172,plain,
    thursday != wednesday,
    i_0_11 ).

cnf(c_0_173,plain,
    friday != thursday,
    i_0_7 ).

cnf(c_0_174,plain,
    ( esk1_0 = wednesday
    | esk1_0 = tuesday
    | esk3_0 = friday ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_170]),c_0_171]) ).

cnf(c_0_175,plain,
    ( esk1_0 = wednesday
    | esk1_0 = tuesday
    | day3(thursday) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_170]),c_0_172]),c_0_173]) ).

cnf(c_0_176,plain,
    ( esk1_0 = tuesday
    | esk1_0 = wednesday
    | esk4_0 = saturday ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_174]),c_0_160]) ).

cnf(c_0_177,plain,
    ( esk1_0 = tuesday
    | esk1_0 = wednesday
    | esk4_0 = thursday ),
    inference(spm,[status(thm)],[c_0_139,c_0_175]) ).

cnf(c_0_178,plain,
    ( esk1_0 = wednesday
    | esk1_0 = tuesday ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_169]) ).

cnf(c_0_179,plain,
    consecutive(wednesday) = thursday,
    i_0_34 ).

cnf(c_0_180,plain,
    ( truthday(X1)
    | ~ day2(X1)
    | ~ day2(thursday) ),
    i_0_47 ).

cnf(c_0_181,plain,
    ( esk1_0 = tuesday
    | esk3_0 = thursday ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_178]),c_0_179]) ).

cnf(c_0_182,plain,
    ( truthday(esk3_0)
    | ~ day2(thursday) ),
    inference(spm,[status(thm)],[c_0_180,c_0_117]) ).

cnf(c_0_183,plain,
    ( esk1_0 = tuesday
    | day2(thursday) ),
    inference(spm,[status(thm)],[c_0_117,c_0_181]) ).

cnf(c_0_184,plain,
    ( esk1_0 = tuesday
    | truthday(esk3_0) ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_185,plain,
    ( esk1_0 = tuesday
    | truthday(thursday) ),
    inference(spm,[status(thm)],[c_0_184,c_0_181]) ).

cnf(c_0_186,plain,
    ( esk1_0 = tuesday
    | esk1_0 = thursday ),
    inference(spm,[status(thm)],[c_0_96,c_0_185]) ).

cnf(c_0_187,plain,
    thursday != tuesday,
    i_0_15 ).

cnf(c_0_188,plain,
    esk1_0 = tuesday,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_186]),c_0_172]),c_0_187]) ).

cnf(c_0_189,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_188]),c_0_91]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : PUZ078+1 : TPTP v8.1.0. Released v3.5.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n027.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sat May 28 21:48:46 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 4.48/2.21  # ENIGMATIC: Solved by autoschedule:
% 4.48/2.21  # No SInE strategy applied
% 4.48/2.21  # Trying AutoSched0 for 150 seconds
% 4.48/2.21  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S085I
% 4.48/2.21  # and selection function SelectCQArNp.
% 4.48/2.21  #
% 4.48/2.21  # Preprocessing time       : 0.012 s
% 4.48/2.21  # Presaturation interreduction done
% 4.48/2.21  
% 4.48/2.21  # Proof found!
% 4.48/2.21  # SZS status Theorem
% 4.48/2.21  # SZS output start CNFRefutation
% See solution above
% 4.48/2.21  # Training examples: 0 positive, 0 negative
% 4.48/2.21  
% 4.48/2.21  # -------------------------------------------------
% 4.48/2.21  # User time                : 0.024 s
% 4.48/2.21  # System time              : 0.005 s
% 4.48/2.21  # Total time               : 0.029 s
% 4.48/2.21  # Maximum resident set size: 7120 pages
% 4.48/2.21  
%------------------------------------------------------------------------------