TSTP Solution File: KLE010+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE010+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 : Sun Jul 17 01:49:32 EDT 2022

% Result   : Theorem 8.17s 2.50s
% Output   : CNFRefutation 8.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   78 (  40 unt;   2 nHn;  48 RR)
%            Number of literals    :  129 (  75 equ;  62 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   95 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_5,negated_conjecture,
    ( ~ leq(one,addition(addition(addition(addition(multiplication(esk2_0,esk1_0),multiplication(c(esk2_0),esk1_0)),multiplication(esk1_0,esk2_0)),multiplication(c(esk1_0),esk2_0)),multiplication(c(esk1_0),c(esk2_0))))
    | ~ leq(addition(addition(addition(addition(multiplication(esk2_0,esk1_0),multiplication(c(esk2_0),esk1_0)),multiplication(esk1_0,esk2_0)),multiplication(c(esk1_0),esk2_0)),multiplication(c(esk1_0),c(esk2_0))),one) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_5) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_2) ).

cnf(i_0_9,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_9) ).

cnf(i_0_26,plain,
    ( multiplication(c(X1),c(X2)) = c(addition(X1,X2))
    | ~ test(X2)
    | ~ test(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_26) ).

cnf(i_0_7,negated_conjecture,
    test(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_7) ).

cnf(i_0_6,negated_conjecture,
    test(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_6) ).

cnf(i_0_13,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_13) ).

cnf(i_0_1,plain,
    addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_1) ).

cnf(i_0_20,plain,
    ( addition(X1,X2) = one
    | ~ complement(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_20) ).

cnf(i_0_24,plain,
    ( complement(X1,X2)
    | c(X1) != X2
    | ~ test(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_24) ).

cnf(i_0_11,plain,
    multiplication(one,X1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_11) ).

cnf(i_0_3,plain,
    addition(X1,X1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_3) ).

cnf(i_0_18,plain,
    ( complement(esk3_1(X1),X1)
    | ~ test(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_18) ).

cnf(i_0_17,plain,
    ( test(X1)
    | ~ complement(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_17) ).

cnf(i_0_16,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_16) ).

cnf(i_0_25,plain,
    ( c(X1) = zero
    | test(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_25) ).

cnf(i_0_4,plain,
    addition(X1,zero) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_4) ).

cnf(i_0_12,plain,
    multiplication(X1,one) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_12) ).

cnf(i_0_19,plain,
    ( complement(X1,X2)
    | addition(X2,X1) != one
    | multiplication(X1,X2) != zero
    | multiplication(X2,X1) != zero ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_19) ).

cnf(i_0_15,plain,
    multiplication(X1,zero) = zero,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_15) ).

cnf(i_0_8,plain,
    multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uiv5pbav/input.p',i_0_8) ).

cnf(c_0_48,negated_conjecture,
    ( ~ leq(one,addition(addition(addition(addition(multiplication(esk2_0,esk1_0),multiplication(c(esk2_0),esk1_0)),multiplication(esk1_0,esk2_0)),multiplication(c(esk1_0),esk2_0)),multiplication(c(esk1_0),c(esk2_0))))
    | ~ leq(addition(addition(addition(addition(multiplication(esk2_0,esk1_0),multiplication(c(esk2_0),esk1_0)),multiplication(esk1_0,esk2_0)),multiplication(c(esk1_0),esk2_0)),multiplication(c(esk1_0),c(esk2_0))),one) ),
    i_0_5 ).

cnf(c_0_49,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_50,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    i_0_9 ).

cnf(c_0_51,negated_conjecture,
    ( ~ leq(one,addition(multiplication(c(esk1_0),c(esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk1_0)))))
    | ~ leq(addition(multiplication(c(esk1_0),c(esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk1_0)))),one) ),
    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(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_50]),c_0_50]) ).

cnf(c_0_52,plain,
    ( multiplication(c(X1),c(X2)) = c(addition(X1,X2))
    | ~ test(X2)
    | ~ test(X1) ),
    i_0_26 ).

cnf(c_0_53,negated_conjecture,
    test(esk2_0),
    i_0_7 ).

cnf(c_0_54,negated_conjecture,
    test(esk1_0),
    i_0_6 ).

cnf(c_0_55,plain,
    ( ~ leq(one,addition(c(addition(esk1_0,esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk1_0)))))
    | ~ leq(addition(c(addition(esk1_0,esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk1_0)))),one) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54])]) ).

cnf(c_0_56,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    i_0_13 ).

cnf(c_0_57,plain,
    addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
    i_0_1 ).

cnf(c_0_58,plain,
    ( addition(X1,X2) = one
    | ~ complement(X2,X1) ),
    i_0_20 ).

cnf(c_0_59,plain,
    ( complement(X1,X2)
    | c(X1) != X2
    | ~ test(X1) ),
    i_0_24 ).

cnf(c_0_60,plain,
    ( addition(c(addition(esk1_0,esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),addition(one,multiplication(addition(esk2_0,c(esk2_0)),esk1_0))))) != one
    | ~ leq(one,addition(c(addition(esk1_0,esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk1_0))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_57]),c_0_57]),c_0_49]) ).

cnf(c_0_61,plain,
    ( addition(X1,X2) = one
    | c(X2) != X1
    | ~ test(X2) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_62,plain,
    ( addition(one,addition(c(addition(esk1_0,esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk1_0))))) != addition(c(addition(esk1_0,esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk1_0))))
    | addition(c(addition(esk1_0,esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),addition(one,multiplication(addition(esk2_0,c(esk2_0)),esk1_0))))) != one ),
    inference(spm,[status(thm)],[c_0_60,c_0_56]) ).

cnf(c_0_63,plain,
    ( addition(X1,c(X1)) = one
    | ~ test(X1) ),
    inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_61]),c_0_49]) ).

cnf(c_0_64,plain,
    multiplication(one,X1) = X1,
    i_0_11 ).

cnf(c_0_65,plain,
    ( addition(one,addition(c(addition(esk1_0,esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(esk1_0,multiplication(esk1_0,esk2_0))))) != addition(c(addition(esk1_0,esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(esk1_0,multiplication(esk1_0,esk2_0))))
    | addition(c(addition(esk1_0,esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),addition(esk1_0,one)))) != one ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_64]),c_0_64]),c_0_53])]),c_0_49]),c_0_49]),c_0_49]) ).

cnf(c_0_66,plain,
    addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
    inference(spm,[status(thm)],[c_0_49,c_0_57]) ).

cnf(c_0_67,plain,
    addition(X1,X1) = X1,
    i_0_3 ).

cnf(c_0_68,plain,
    ( complement(esk3_1(X1),X1)
    | ~ test(X1) ),
    i_0_18 ).

cnf(c_0_69,plain,
    ( test(X1)
    | ~ complement(X2,X1) ),
    i_0_17 ).

cnf(c_0_70,plain,
    ( addition(esk1_0,addition(one,addition(multiplication(esk1_0,esk2_0),addition(multiplication(c(esk1_0),esk2_0),c(addition(esk1_0,esk2_0)))))) != addition(esk1_0,addition(multiplication(esk1_0,esk2_0),addition(multiplication(c(esk1_0),esk2_0),c(addition(esk1_0,esk2_0)))))
    | addition(esk1_0,addition(one,addition(multiplication(esk1_0,esk2_0),addition(multiplication(c(esk1_0),esk2_0),c(addition(esk1_0,esk2_0)))))) != one ),
    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(rw,[status(thm)],[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(rw,[status(thm)],[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(rw,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66]),c_0_57]),c_0_66]),c_0_57]),c_0_49]),c_0_66]),c_0_57]),c_0_57]),c_0_49]),c_0_66]),c_0_49]),c_0_66]),c_0_57]),c_0_49]),c_0_66]),c_0_49]),c_0_66]),c_0_57]),c_0_66]),c_0_57]),c_0_49]),c_0_66]),c_0_66]),c_0_57]),c_0_57]),c_0_66]),c_0_57]),c_0_57]),c_0_49]) ).

cnf(c_0_71,plain,
    addition(multiplication(X1,X2),addition(multiplication(X3,X2),X4)) = addition(multiplication(addition(X1,X3),X2),X4),
    inference(spm,[status(thm)],[c_0_57,c_0_50]) ).

cnf(c_0_72,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(spm,[status(thm)],[c_0_57,c_0_67]) ).

cnf(c_0_73,plain,
    ( addition(X1,esk3_1(X1)) = one
    | ~ test(X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_68]) ).

cnf(c_0_74,plain,
    ( test(X1)
    | c(X2) != X1
    | ~ test(X2) ),
    inference(spm,[status(thm)],[c_0_69,c_0_59]) ).

cnf(c_0_75,plain,
    ( addition(esk1_0,addition(one,addition(c(addition(esk1_0,esk2_0)),multiplication(addition(esk1_0,c(esk1_0)),esk2_0)))) != addition(esk1_0,addition(c(addition(esk1_0,esk2_0)),multiplication(addition(esk1_0,c(esk1_0)),esk2_0)))
    | addition(esk1_0,addition(one,addition(c(addition(esk1_0,esk2_0)),multiplication(addition(esk1_0,c(esk1_0)),esk2_0)))) != one ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71]),c_0_49]),c_0_71]),c_0_49]),c_0_71]),c_0_49]) ).

cnf(c_0_76,plain,
    addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_49]),c_0_57]) ).

cnf(c_0_77,plain,
    ( addition(X1,one) = one
    | ~ test(X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_78,plain,
    ( test(c(X1))
    | ~ test(X1) ),
    inference(er,[status(thm)],[c_0_74]) ).

cnf(c_0_79,plain,
    ( addition(esk1_0,addition(esk2_0,addition(one,c(addition(esk1_0,esk2_0))))) != addition(esk1_0,addition(esk2_0,c(addition(esk1_0,esk2_0))))
    | addition(esk1_0,addition(esk2_0,addition(one,c(addition(esk1_0,esk2_0))))) != one ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_63]),c_0_64]),c_0_64]),c_0_64]),c_0_54])]),c_0_49]),c_0_76]),c_0_49]),c_0_49]),c_0_76]) ).

cnf(c_0_80,plain,
    ( addition(one,c(X1)) = one
    | ~ test(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_49]) ).

cnf(c_0_81,negated_conjecture,
    addition(esk2_0,one) = one,
    inference(spm,[status(thm)],[c_0_77,c_0_53]) ).

cnf(c_0_82,negated_conjecture,
    addition(esk1_0,one) = one,
    inference(spm,[status(thm)],[c_0_77,c_0_54]) ).

cnf(c_0_83,plain,
    ( addition(esk1_0,addition(esk2_0,c(addition(esk1_0,esk2_0)))) != one
    | ~ test(addition(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_82]),c_0_81]),c_0_82])]) ).

cnf(c_0_84,plain,
    ( addition(X1,addition(X2,c(addition(X1,X2)))) = one
    | ~ test(addition(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_57,c_0_63]) ).

cnf(c_0_85,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    i_0_16 ).

cnf(c_0_86,plain,
    ~ test(addition(esk1_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_87,plain,
    ( c(X1) = zero
    | test(X1) ),
    i_0_25 ).

cnf(c_0_88,plain,
    ( addition(multiplication(c(X1),X2),c(addition(X1,X3))) = multiplication(c(X1),addition(X2,c(X3)))
    | ~ test(X3)
    | ~ test(X1) ),
    inference(spm,[status(thm)],[c_0_85,c_0_52]) ).

cnf(c_0_89,plain,
    c(addition(esk1_0,esk2_0)) = zero,
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_90,plain,
    addition(X1,zero) = X1,
    i_0_4 ).

cnf(c_0_91,plain,
    multiplication(c(esk1_0),addition(X1,c(esk2_0))) = multiplication(c(esk1_0),X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_53]),c_0_54])]) ).

cnf(c_0_92,plain,
    multiplication(X1,one) = X1,
    i_0_12 ).

cnf(c_0_93,plain,
    addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_64]),c_0_49]) ).

cnf(c_0_94,plain,
    multiplication(c(esk1_0),esk2_0) = c(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_63]),c_0_92]),c_0_53])]) ).

cnf(c_0_95,plain,
    ( complement(X1,X2)
    | addition(X2,X1) != one
    | multiplication(X1,X2) != zero
    | multiplication(X2,X1) != zero ),
    i_0_19 ).

cnf(c_0_96,plain,
    multiplication(addition(one,c(esk1_0)),esk2_0) = addition(esk2_0,c(esk1_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_49]) ).

cnf(c_0_97,plain,
    ( test(X1)
    | multiplication(X1,X2) != zero
    | multiplication(X2,X1) != zero
    | addition(X1,X2) != one ),
    inference(spm,[status(thm)],[c_0_69,c_0_95]) ).

cnf(c_0_98,plain,
    multiplication(X1,zero) = zero,
    i_0_15 ).

cnf(c_0_99,plain,
    multiplication(zero,X1) = zero,
    i_0_8 ).

cnf(c_0_100,plain,
    addition(esk2_0,c(esk1_0)) = esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_80]),c_0_64]),c_0_54])]) ).

cnf(c_0_101,plain,
    ( test(X1)
    | X1 != one ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_90])]) ).

cnf(c_0_102,plain,
    addition(esk2_0,addition(X1,c(esk1_0))) = addition(X1,esk2_0),
    inference(spm,[status(thm)],[c_0_76,c_0_100]) ).

cnf(c_0_103,plain,
    addition(esk1_0,esk2_0) != one,
    inference(spm,[status(thm)],[c_0_86,c_0_101]) ).

cnf(c_0_104,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_63]),c_0_81]),c_0_54])]),c_0_103]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KLE010+4 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 11:45:13 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.17/2.50  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 8.17/2.50  # Version: 2.1pre011
% 8.17/2.50  # Preprocessing time       : 0.051 s
% 8.17/2.50  
% 8.17/2.50  # Proof found!
% 8.17/2.50  # SZS status Theorem
% 8.17/2.50  # SZS output start CNFRefutation
% See solution above
% 8.17/2.50  # Proof object total steps             : 78
% 8.17/2.50  # Proof object clause steps            : 57
% 8.17/2.50  # Proof object formula steps           : 21
% 8.17/2.50  # Proof object conjectures             : 9
% 8.17/2.50  # Proof object clause conjectures      : 6
% 8.17/2.50  # Proof object formula conjectures     : 3
% 8.17/2.50  # Proof object initial clauses used    : 21
% 8.17/2.50  # Proof object initial formulas used   : 21
% 8.17/2.50  # Proof object generating inferences   : 33
% 8.17/2.50  # Proof object simplifying inferences  : 95
% 8.17/2.50  # Training examples: 0 positive, 0 negative
% 8.17/2.50  # Parsed axioms                        : 27
% 8.17/2.50  # Removed by relevancy pruning/SinE    : 0
% 8.17/2.50  # Initial clauses                      : 27
% 8.17/2.50  # Removed in clause preprocessing      : 0
% 8.17/2.50  # Initial clauses in saturation        : 27
% 8.17/2.50  # Processed clauses                    : 525
% 8.17/2.50  # ...of these trivial                  : 23
% 8.17/2.50  # ...subsumed                          : 255
% 8.17/2.50  # ...remaining for further processing  : 247
% 8.17/2.50  # Other redundant clauses eliminated   : 0
% 8.17/2.50  # Clauses deleted for lack of memory   : 0
% 8.17/2.50  # Backward-subsumed                    : 15
% 8.17/2.50  # Backward-rewritten                   : 68
% 8.17/2.50  # Generated clauses                    : 4305
% 8.17/2.50  # ...of the previous two non-trivial   : 3559
% 8.17/2.50  # Contextual simplify-reflections      : 62
% 8.17/2.50  # Paramodulations                      : 4291
% 8.17/2.50  # Factorizations                       : 5
% 8.17/2.50  # Equation resolutions                 : 8
% 8.17/2.50  # Propositional unsat checks           : 0
% 8.17/2.50  # Propositional unsat check successes  : 0
% 8.17/2.50  # Current number of processed clauses  : 163
% 8.17/2.50  #    Positive orientable unit clauses  : 48
% 8.17/2.50  #    Positive unorientable unit clauses: 3
% 8.17/2.50  #    Negative unit clauses             : 7
% 8.17/2.50  #    Non-unit-clauses                  : 105
% 8.17/2.50  # Current number of unprocessed clauses: 2498
% 8.17/2.50  # ...number of literals in the above   : 6730
% 8.17/2.50  # Current number of archived formulas  : 0
% 8.17/2.50  # Current number of archived clauses   : 84
% 8.17/2.50  # Clause-clause subsumption calls (NU) : 2580
% 8.17/2.50  # Rec. Clause-clause subsumption calls : 2236
% 8.17/2.50  # Non-unit clause-clause subsumptions  : 210
% 8.17/2.50  # Unit Clause-clause subsumption calls : 366
% 8.17/2.50  # Rewrite failures with RHS unbound    : 0
% 8.17/2.50  # BW rewrite match attempts            : 229
% 8.17/2.50  # BW rewrite match successes           : 114
% 8.17/2.50  # Condensation attempts                : 0
% 8.17/2.50  # Condensation successes               : 0
% 8.17/2.50  # Termbank termtop insertions          : 60568
% 8.17/2.50  
% 8.17/2.50  # -------------------------------------------------
% 8.17/2.50  # User time                : 0.100 s
% 8.17/2.50  # System time              : 0.007 s
% 8.17/2.50  # Total time               : 0.107 s
% 8.17/2.50  # ...preprocessing         : 0.051 s
% 8.17/2.50  # ...main loop             : 0.056 s
% 8.17/2.50  # Maximum resident set size: 7540 pages
% 8.17/2.50  
%------------------------------------------------------------------------------