TSTP Solution File: SYN551+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYN551+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% 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  : 600s
% DateTime : Thu Jul 21 04:55:33 EDT 2022

% Result   : Theorem 8.65s 2.40s
% Output   : CNFRefutation 8.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   93 (   9 unt;  62 nHn;  93 RR)
%            Number of literals    :  291 ( 290 equ; 119 neg)
%            Maximal clause size   :    6 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-1 aty)
%            Number of variables   :  103 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_9,negated_conjecture,
    ( f(g(esk2_0)) = esk2_0
    | g(f(esk4_0)) = esk4_0
    | f(g(X1)) != X1
    | g(f(X2)) != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-skslmjfb/input.p',i_0_9) ).

cnf(i_0_4,negated_conjecture,
    ( f(g(esk5_0)) = esk5_0
    | g(f(esk6_0)) = esk6_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-skslmjfb/input.p',i_0_4) ).

cnf(i_0_12,negated_conjecture,
    ( f(g(esk1_0)) = esk1_0
    | g(f(esk4_0)) = esk4_0
    | f(g(X1)) != X1
    | g(f(X2)) != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-skslmjfb/input.p',i_0_12) ).

cnf(i_0_1,negated_conjecture,
    ( X1 = X2
    | X3 = X4
    | f(g(X2)) != X2
    | f(g(X1)) != X1
    | g(f(X4)) != X4
    | g(f(X3)) != X3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-skslmjfb/input.p',i_0_1) ).

cnf(i_0_10,negated_conjecture,
    ( f(g(esk2_0)) = esk2_0
    | g(f(esk3_0)) = esk3_0
    | f(g(X1)) != X1
    | g(f(X2)) != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-skslmjfb/input.p',i_0_10) ).

cnf(i_0_6,negated_conjecture,
    ( g(f(esk4_0)) = esk4_0
    | esk2_0 != esk1_0
    | f(g(X1)) != X1
    | g(f(X2)) != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-skslmjfb/input.p',i_0_6) ).

cnf(i_0_13,negated_conjecture,
    ( f(g(esk1_0)) = esk1_0
    | g(f(esk3_0)) = esk3_0
    | f(g(X1)) != X1
    | g(f(X2)) != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-skslmjfb/input.p',i_0_13) ).

cnf(i_0_3,negated_conjecture,
    ( X1 = X2
    | f(g(esk5_0)) = esk5_0
    | g(f(X2)) != X2
    | g(f(X1)) != X1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-skslmjfb/input.p',i_0_3) ).

cnf(i_0_8,negated_conjecture,
    ( f(g(esk2_0)) = esk2_0
    | esk4_0 != esk3_0
    | f(g(X1)) != X1
    | g(f(X2)) != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-skslmjfb/input.p',i_0_8) ).

cnf(i_0_11,negated_conjecture,
    ( f(g(esk1_0)) = esk1_0
    | esk4_0 != esk3_0
    | f(g(X1)) != X1
    | g(f(X2)) != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-skslmjfb/input.p',i_0_11) ).

cnf(i_0_7,negated_conjecture,
    ( g(f(esk3_0)) = esk3_0
    | esk2_0 != esk1_0
    | f(g(X1)) != X1
    | g(f(X2)) != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-skslmjfb/input.p',i_0_7) ).

cnf(i_0_5,negated_conjecture,
    ( esk2_0 != esk1_0
    | esk4_0 != esk3_0
    | f(g(X1)) != X1
    | g(f(X2)) != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-skslmjfb/input.p',i_0_5) ).

cnf(c_0_26,negated_conjecture,
    ( f(g(esk2_0)) = esk2_0
    | g(f(esk4_0)) = esk4_0
    | f(g(X1)) != X1
    | g(f(X2)) != X2 ),
    i_0_9 ).

cnf(c_0_27,negated_conjecture,
    ( f(g(esk5_0)) = esk5_0
    | g(f(esk6_0)) = esk6_0 ),
    i_0_4 ).

cnf(c_0_28,negated_conjecture,
    ( f(g(esk2_0)) = esk2_0
    | g(f(esk4_0)) = esk4_0
    | f(g(X1)) != X1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_26]) ).

cnf(c_0_29,negated_conjecture,
    ( g(f(esk6_0)) = esk6_0
    | g(f(esk4_0)) = esk4_0
    | f(g(esk2_0)) = esk2_0 ),
    inference(spm,[status(thm)],[c_0_28,c_0_27]) ).

cnf(c_0_30,negated_conjecture,
    ( f(g(esk1_0)) = esk1_0
    | g(f(esk4_0)) = esk4_0
    | f(g(X1)) != X1
    | g(f(X2)) != X2 ),
    i_0_12 ).

cnf(c_0_31,negated_conjecture,
    ( g(f(esk4_0)) = esk4_0
    | f(g(esk2_0)) = esk2_0 ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,negated_conjecture,
    ( f(g(esk1_0)) = esk1_0
    | g(f(esk4_0)) = esk4_0
    | f(g(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_33,negated_conjecture,
    ( X1 = X2
    | X3 = X4
    | f(g(X2)) != X2
    | f(g(X1)) != X1
    | g(f(X4)) != X4
    | g(f(X3)) != X3 ),
    i_0_1 ).

cnf(c_0_34,negated_conjecture,
    ( g(f(esk4_0)) = esk4_0
    | f(g(esk1_0)) = esk1_0 ),
    inference(spm,[status(thm)],[c_0_32,c_0_31]) ).

cnf(c_0_35,negated_conjecture,
    ( g(f(esk4_0)) = esk4_0
    | X1 = g(esk1_0)
    | X2 = X3
    | g(f(X1)) != X1
    | f(g(X3)) != X3
    | f(g(X2)) != X2 ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_36,negated_conjecture,
    ( g(esk1_0) = g(esk2_0)
    | g(f(esk4_0)) = esk4_0
    | X1 = X2
    | f(g(X2)) != X2
    | f(g(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_35,c_0_31]) ).

cnf(c_0_37,negated_conjecture,
    ( g(f(esk4_0)) = esk4_0
    | g(esk1_0) = g(esk2_0)
    | X1 = esk1_0
    | f(g(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_36,c_0_34]) ).

cnf(c_0_38,negated_conjecture,
    ( g(esk1_0) = g(esk2_0)
    | g(f(esk4_0)) = esk4_0
    | esk1_0 = esk2_0 ),
    inference(spm,[status(thm)],[c_0_37,c_0_31]) ).

cnf(c_0_39,negated_conjecture,
    ( f(g(esk2_0)) = esk2_0
    | g(f(esk3_0)) = esk3_0
    | f(g(X1)) != X1
    | g(f(X2)) != X2 ),
    i_0_10 ).

cnf(c_0_40,negated_conjecture,
    ( esk1_0 = f(g(esk2_0))
    | g(f(esk4_0)) = esk4_0
    | esk1_0 = esk2_0 ),
    inference(spm,[status(thm)],[c_0_34,c_0_38]) ).

cnf(c_0_41,negated_conjecture,
    ( f(g(esk2_0)) = esk2_0
    | g(f(esk3_0)) = esk3_0
    | f(g(X1)) != X1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_27]),c_0_39]) ).

cnf(c_0_42,negated_conjecture,
    ( g(f(esk4_0)) = esk4_0
    | esk2_0 != esk1_0
    | f(g(X1)) != X1
    | g(f(X2)) != X2 ),
    i_0_6 ).

cnf(c_0_43,negated_conjecture,
    ( g(f(esk4_0)) = esk4_0
    | esk1_0 = esk2_0 ),
    inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_40]),c_0_31]) ).

cnf(c_0_44,negated_conjecture,
    ( f(g(esk1_0)) = esk1_0
    | g(f(esk3_0)) = esk3_0
    | f(g(X1)) != X1
    | g(f(X2)) != X2 ),
    i_0_13 ).

cnf(c_0_45,negated_conjecture,
    ( g(f(esk6_0)) = esk6_0
    | g(f(esk3_0)) = esk3_0
    | f(g(esk2_0)) = esk2_0 ),
    inference(spm,[status(thm)],[c_0_41,c_0_27]) ).

cnf(c_0_46,negated_conjecture,
    ( g(f(esk4_0)) = esk4_0
    | g(f(X1)) != X1
    | f(g(X2)) != X2 ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_47,negated_conjecture,
    ( f(g(esk1_0)) = esk1_0
    | g(f(esk3_0)) = esk3_0
    | f(g(X1)) != X1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_27]),c_0_44]) ).

cnf(c_0_48,negated_conjecture,
    ( g(f(esk3_0)) = esk3_0
    | f(g(esk2_0)) = esk2_0 ),
    inference(spm,[status(thm)],[c_0_41,c_0_45]) ).

cnf(c_0_49,negated_conjecture,
    ( g(f(esk4_0)) = esk4_0
    | f(g(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_46,c_0_34]) ).

cnf(c_0_50,negated_conjecture,
    ( X1 = X2
    | f(g(esk5_0)) = esk5_0
    | g(f(X2)) != X2
    | g(f(X1)) != X1 ),
    i_0_3 ).

cnf(c_0_51,negated_conjecture,
    ( g(f(esk6_0)) = esk6_0
    | g(f(esk3_0)) = esk3_0
    | f(g(esk1_0)) = esk1_0 ),
    inference(spm,[status(thm)],[c_0_47,c_0_27]) ).

cnf(c_0_52,negated_conjecture,
    ( f(g(esk2_0)) = esk2_0
    | X1 = esk3_0
    | X2 = X3
    | g(f(X1)) != X1
    | f(g(X3)) != X3
    | f(g(X2)) != X2 ),
    inference(spm,[status(thm)],[c_0_33,c_0_48]) ).

cnf(c_0_53,negated_conjecture,
    g(f(esk4_0)) = esk4_0,
    inference(spm,[status(thm)],[c_0_49,c_0_34]) ).

cnf(c_0_54,negated_conjecture,
    ( f(g(esk2_0)) = esk2_0
    | f(g(esk5_0)) = esk5_0
    | X1 = esk3_0
    | g(f(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_50,c_0_48]) ).

cnf(c_0_55,negated_conjecture,
    ( g(f(esk3_0)) = esk3_0
    | f(g(esk1_0)) = esk1_0 ),
    inference(spm,[status(thm)],[c_0_47,c_0_51]) ).

cnf(c_0_56,negated_conjecture,
    ( f(g(esk2_0)) = esk2_0
    | esk3_0 = esk4_0
    | X1 = X2
    | f(g(X2)) != X2
    | f(g(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_57,negated_conjecture,
    ( f(g(esk5_0)) = esk5_0
    | f(g(esk2_0)) = esk2_0
    | esk3_0 = esk4_0 ),
    inference(spm,[status(thm)],[c_0_54,c_0_53]) ).

cnf(c_0_58,negated_conjecture,
    ( X1 = esk4_0
    | X2 = X3
    | g(f(X1)) != X1
    | f(g(X3)) != X3
    | f(g(X2)) != X2 ),
    inference(spm,[status(thm)],[c_0_33,c_0_53]) ).

cnf(c_0_59,negated_conjecture,
    ( f(g(esk1_0)) = esk1_0
    | f(g(esk5_0)) = esk5_0
    | X1 = esk3_0
    | g(f(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_50,c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    ( f(g(esk2_0)) = esk2_0
    | esk3_0 = esk4_0
    | X1 = esk5_0
    | f(g(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_61,negated_conjecture,
    ( f(g(esk1_0)) = esk1_0
    | esk3_0 = esk4_0
    | X1 = X2
    | f(g(X2)) != X2
    | f(g(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_58,c_0_55]) ).

cnf(c_0_62,negated_conjecture,
    ( f(g(esk5_0)) = esk5_0
    | f(g(esk1_0)) = esk1_0
    | esk3_0 = esk4_0 ),
    inference(spm,[status(thm)],[c_0_59,c_0_53]) ).

cnf(c_0_63,negated_conjecture,
    ( f(g(esk2_0)) = esk2_0
    | esk5_0 = f(esk3_0)
    | esk3_0 = esk4_0 ),
    inference(spm,[status(thm)],[c_0_60,c_0_48]) ).

cnf(c_0_64,negated_conjecture,
    ( f(g(esk2_0)) = esk2_0
    | esk5_0 = f(esk4_0)
    | esk3_0 = esk4_0 ),
    inference(spm,[status(thm)],[c_0_60,c_0_53]) ).

cnf(c_0_65,negated_conjecture,
    ( f(g(esk1_0)) = esk1_0
    | esk3_0 = esk4_0
    | X1 = esk5_0
    | f(g(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_66,negated_conjecture,
    ( f(esk3_0) = f(esk4_0)
    | f(g(esk2_0)) = esk2_0
    | esk3_0 = esk4_0 ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_67,negated_conjecture,
    ( f(g(esk1_0)) = esk1_0
    | esk5_0 = f(esk3_0)
    | esk3_0 = esk4_0 ),
    inference(spm,[status(thm)],[c_0_65,c_0_55]) ).

cnf(c_0_68,negated_conjecture,
    ( f(g(esk1_0)) = esk1_0
    | esk5_0 = f(esk4_0)
    | esk3_0 = esk4_0 ),
    inference(spm,[status(thm)],[c_0_65,c_0_53]) ).

cnf(c_0_69,negated_conjecture,
    ( f(g(esk2_0)) = esk2_0
    | esk4_0 != esk3_0
    | f(g(X1)) != X1
    | g(f(X2)) != X2 ),
    i_0_8 ).

cnf(c_0_70,negated_conjecture,
    ( f(g(esk2_0)) = esk2_0
    | esk3_0 = esk4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_66]),c_0_53])]) ).

cnf(c_0_71,negated_conjecture,
    ( f(esk3_0) = f(esk4_0)
    | f(g(esk1_0)) = esk1_0
    | esk3_0 = esk4_0 ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_72,negated_conjecture,
    ( f(g(esk2_0)) = esk2_0
    | g(f(X1)) != X1
    | f(g(X2)) != X2 ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_73,negated_conjecture,
    ( f(g(esk1_0)) = esk1_0
    | esk4_0 != esk3_0
    | f(g(X1)) != X1
    | g(f(X2)) != X2 ),
    i_0_11 ).

cnf(c_0_74,negated_conjecture,
    ( f(g(esk1_0)) = esk1_0
    | esk3_0 = esk4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_71]),c_0_53])]) ).

cnf(c_0_75,negated_conjecture,
    ( f(g(esk2_0)) = esk2_0
    | f(g(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_72,c_0_48]) ).

cnf(c_0_76,negated_conjecture,
    ( f(g(esk1_0)) = esk1_0
    | g(f(X1)) != X1
    | f(g(X2)) != X2 ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_77,negated_conjecture,
    f(g(esk2_0)) = esk2_0,
    inference(spm,[status(thm)],[c_0_75,c_0_48]) ).

cnf(c_0_78,negated_conjecture,
    ( f(g(esk1_0)) = esk1_0
    | f(g(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_76,c_0_55]) ).

cnf(c_0_79,negated_conjecture,
    ( g(esk2_0) = esk4_0
    | X1 = X2
    | f(g(X2)) != X2
    | f(g(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_58,c_0_77]) ).

cnf(c_0_80,negated_conjecture,
    f(g(esk1_0)) = esk1_0,
    inference(spm,[status(thm)],[c_0_78,c_0_55]) ).

cnf(c_0_81,negated_conjecture,
    ( g(esk2_0) = esk4_0
    | X1 = esk2_0
    | f(g(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_79,c_0_77]) ).

cnf(c_0_82,negated_conjecture,
    ( g(esk1_0) = esk4_0
    | X1 = X2
    | f(g(X2)) != X2
    | f(g(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_58,c_0_80]) ).

cnf(c_0_83,negated_conjecture,
    ( esk2_0 = f(esk4_0)
    | g(esk2_0) = esk4_0 ),
    inference(spm,[status(thm)],[c_0_81,c_0_53]) ).

cnf(c_0_84,negated_conjecture,
    ( g(esk1_0) = esk4_0
    | X1 = esk1_0
    | f(g(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_82,c_0_80]) ).

cnf(c_0_85,negated_conjecture,
    ( g(f(esk3_0)) = esk3_0
    | esk2_0 != esk1_0
    | f(g(X1)) != X1
    | g(f(X2)) != X2 ),
    i_0_7 ).

cnf(c_0_86,negated_conjecture,
    esk2_0 = f(esk4_0),
    inference(spm,[status(thm)],[c_0_77,c_0_83]) ).

cnf(c_0_87,negated_conjecture,
    ( esk1_0 = f(esk4_0)
    | g(esk1_0) = esk4_0 ),
    inference(spm,[status(thm)],[c_0_84,c_0_53]) ).

cnf(c_0_88,negated_conjecture,
    ( g(f(esk3_0)) = esk3_0
    | g(f(X1)) != X1
    | f(g(X2)) != X2
    | esk1_0 != f(esk4_0) ),
    inference(rw,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_89,negated_conjecture,
    esk1_0 = f(esk4_0),
    inference(spm,[status(thm)],[c_0_80,c_0_87]) ).

cnf(c_0_90,negated_conjecture,
    ( g(f(esk3_0)) = esk3_0
    | g(f(X1)) != X1
    | f(g(X2)) != X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89])]) ).

cnf(c_0_91,negated_conjecture,
    ( g(f(esk3_0)) = esk3_0
    | f(g(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_90,c_0_53]) ).

cnf(c_0_92,negated_conjecture,
    g(f(esk3_0)) = esk3_0,
    inference(spm,[status(thm)],[c_0_91,c_0_53]) ).

cnf(c_0_93,negated_conjecture,
    ( f(g(esk5_0)) = esk5_0
    | X1 = esk4_0
    | g(f(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_50,c_0_53]) ).

cnf(c_0_94,negated_conjecture,
    ( esk3_0 = esk4_0
    | X1 = X2
    | f(g(X2)) != X2
    | f(g(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_58,c_0_92]) ).

cnf(c_0_95,negated_conjecture,
    ( f(g(esk5_0)) = esk5_0
    | esk3_0 = esk4_0 ),
    inference(spm,[status(thm)],[c_0_93,c_0_92]) ).

cnf(c_0_96,negated_conjecture,
    ( esk3_0 = esk4_0
    | X1 = esk5_0
    | f(g(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_97,negated_conjecture,
    ( esk2_0 != esk1_0
    | esk4_0 != esk3_0
    | f(g(X1)) != X1
    | g(f(X2)) != X2 ),
    i_0_5 ).

cnf(c_0_98,negated_conjecture,
    ( esk5_0 = f(esk3_0)
    | esk3_0 = esk4_0 ),
    inference(spm,[status(thm)],[c_0_96,c_0_92]) ).

cnf(c_0_99,negated_conjecture,
    ( esk5_0 = f(esk4_0)
    | esk3_0 = esk4_0 ),
    inference(spm,[status(thm)],[c_0_96,c_0_53]) ).

cnf(c_0_100,negated_conjecture,
    ( g(f(X1)) != X1
    | f(g(X2)) != X2
    | esk1_0 != f(esk4_0)
    | esk3_0 != esk4_0 ),
    inference(rw,[status(thm)],[c_0_97,c_0_86]) ).

cnf(c_0_101,negated_conjecture,
    ( f(esk3_0) = f(esk4_0)
    | esk3_0 = esk4_0 ),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_102,negated_conjecture,
    ( g(f(X1)) != X1
    | f(g(X2)) != X2
    | esk3_0 != esk4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_89])]) ).

cnf(c_0_103,negated_conjecture,
    esk3_0 = esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_101]),c_0_53])]) ).

cnf(c_0_104,negated_conjecture,
    ( g(f(X1)) != X1
    | f(g(X2)) != X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103])]) ).

cnf(c_0_105,negated_conjecture,
    f(g(X1)) != X1,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_27]),c_0_104]) ).

cnf(c_0_106,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_105,c_0_53]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN551+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 22:57:23 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 8.65/2.40  # ENIGMATIC: Solved by autoschedule:
% 8.65/2.40  # No SInE strategy applied
% 8.65/2.40  # Trying AutoSched0 for 150 seconds
% 8.65/2.40  # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
% 8.65/2.40  # and selection function SelectCQIPrecWNTNp.
% 8.65/2.40  #
% 8.65/2.40  # Preprocessing time       : 0.023 s
% 8.65/2.40  # Presaturation interreduction done
% 8.65/2.40  
% 8.65/2.40  # Proof found!
% 8.65/2.40  # SZS status Theorem
% 8.65/2.40  # SZS output start CNFRefutation
% See solution above
% 8.65/2.40  # Training examples: 0 positive, 0 negative
% 8.65/2.40  
% 8.65/2.40  # -------------------------------------------------
% 8.65/2.40  # User time                : 0.036 s
% 8.65/2.40  # System time              : 0.009 s
% 8.65/2.40  # Total time               : 0.045 s
% 8.65/2.40  # Maximum resident set size: 7120 pages
% 8.65/2.40  
%------------------------------------------------------------------------------