TSTP Solution File: PUZ133+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : PUZ133+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 18:08:48 EDT 2022

% Result   : Theorem 11.21s 2.79s
% Output   : CNFRefutation 11.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   95 (  35 unt;  23 nHn;  84 RR)
%            Number of literals    :  219 (  96 equ; 111 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :  117 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
    ( queens_q
    | le(s(esk1_0),esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-48995z2t/input.p',i_0_9) ).

cnf(i_0_12,negated_conjecture,
    ~ queens_q,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-48995z2t/input.p',i_0_12) ).

cnf(i_0_18,plain,
    ( le(X1,X2)
    | ~ le(X3,X2)
    | ~ le(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-48995z2t/input.p',i_0_18) ).

cnf(i_0_10,plain,
    ( queens_q
    | le(esk1_0,n) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-48995z2t/input.p',i_0_10) ).

cnf(i_0_11,plain,
    ( queens_q
    | le(s(n0),esk1_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-48995z2t/input.p',i_0_11) ).

cnf(i_0_7,plain,
    ( queens_q
    | le(s(perm(esk2_0)),perm(esk1_0))
    | ~ le(s(esk1_0),esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-48995z2t/input.p',i_0_7) ).

cnf(i_0_19,plain,
    le(X1,s(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-48995z2t/input.p',i_0_19) ).

cnf(i_0_5,negated_conjecture,
    ( p(perm(esk2_0)) = p(perm(esk1_0))
    | plus(p(perm(esk2_0)),esk2_0) = plus(p(perm(esk1_0)),esk1_0)
    | minus(p(perm(esk2_0)),esk2_0) = minus(p(perm(esk1_0)),esk1_0)
    | queens_q ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-48995z2t/input.p',i_0_5) ).

cnf(i_0_15,plain,
    ( le(perm(X1),n)
    | ~ le(X1,n)
    | ~ le(s(n0),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-48995z2t/input.p',i_0_15) ).

cnf(i_0_21,plain,
    ( minus(X1,X2) = minus(X3,X4)
    | plus(X1,X4) != plus(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-48995z2t/input.p',i_0_21) ).

cnf(i_0_20,plain,
    ( plus(X1,X2) = plus(X3,X4)
    | minus(X1,X3) != minus(X4,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-48995z2t/input.p',i_0_20) ).

cnf(i_0_3,plain,
    ( p(X1) != p(X2)
    | ~ queens_p
    | ~ le(X2,n)
    | ~ le(X1,n)
    | ~ le(s(X1),X2)
    | ~ le(s(n0),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-48995z2t/input.p',i_0_3) ).

cnf(i_0_14,negated_conjecture,
    queens_p,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-48995z2t/input.p',i_0_14) ).

cnf(i_0_8,plain,
    ( queens_q
    | le(esk2_0,n) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-48995z2t/input.p',i_0_8) ).

cnf(i_0_17,plain,
    minus(perm(X1),perm(X2)) = minus(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-48995z2t/input.p',i_0_17) ).

cnf(i_0_16,plain,
    ( le(s(n0),perm(X1))
    | ~ le(X1,n)
    | ~ le(s(n0),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-48995z2t/input.p',i_0_16) ).

cnf(i_0_22,plain,
    ( minus(X1,X2) = minus(X3,X4)
    | minus(X1,X3) != minus(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-48995z2t/input.p',i_0_22) ).

cnf(i_0_1,plain,
    ( minus(p(X1),X1) != minus(p(X2),X2)
    | ~ queens_p
    | ~ le(X2,n)
    | ~ le(X1,n)
    | ~ le(s(X1),X2)
    | ~ le(s(n0),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-48995z2t/input.p',i_0_1) ).

cnf(i_0_2,plain,
    ( plus(p(X1),X1) != plus(p(X2),X2)
    | ~ queens_p
    | ~ le(X2,n)
    | ~ le(X1,n)
    | ~ le(s(X1),X2)
    | ~ le(s(n0),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-48995z2t/input.p',i_0_2) ).

cnf(c_0_42,plain,
    ( queens_q
    | le(s(esk1_0),esk2_0) ),
    i_0_9 ).

cnf(c_0_43,negated_conjecture,
    ~ queens_q,
    i_0_12 ).

cnf(c_0_44,plain,
    ( le(X1,X2)
    | ~ le(X3,X2)
    | ~ le(X1,X3) ),
    i_0_18 ).

cnf(c_0_45,plain,
    le(s(esk1_0),esk2_0),
    inference(sr,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_46,plain,
    ( queens_q
    | le(esk1_0,n) ),
    i_0_10 ).

cnf(c_0_47,plain,
    ( queens_q
    | le(s(n0),esk1_0) ),
    i_0_11 ).

cnf(c_0_48,plain,
    ( queens_q
    | le(s(perm(esk2_0)),perm(esk1_0))
    | ~ le(s(esk1_0),esk2_0) ),
    i_0_7 ).

cnf(c_0_49,plain,
    ( le(X1,esk2_0)
    | ~ le(X1,s(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_50,plain,
    le(X1,s(X1)),
    i_0_19 ).

cnf(c_0_51,negated_conjecture,
    ( p(perm(esk2_0)) = p(perm(esk1_0))
    | plus(p(perm(esk2_0)),esk2_0) = plus(p(perm(esk1_0)),esk1_0)
    | minus(p(perm(esk2_0)),esk2_0) = minus(p(perm(esk1_0)),esk1_0)
    | queens_q ),
    i_0_5 ).

cnf(c_0_52,plain,
    ( le(perm(X1),n)
    | ~ le(X1,n)
    | ~ le(s(n0),X1) ),
    i_0_15 ).

cnf(c_0_53,plain,
    le(esk1_0,n),
    inference(sr,[status(thm)],[c_0_46,c_0_43]) ).

cnf(c_0_54,plain,
    le(s(n0),esk1_0),
    inference(sr,[status(thm)],[c_0_47,c_0_43]) ).

cnf(c_0_55,plain,
    le(s(perm(esk2_0)),perm(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_45])]),c_0_43]) ).

cnf(c_0_56,plain,
    le(esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_57,plain,
    ( minus(X1,X2) = minus(X3,X4)
    | plus(X1,X4) != plus(X2,X3) ),
    i_0_21 ).

cnf(c_0_58,negated_conjecture,
    ( plus(p(perm(esk2_0)),esk2_0) = plus(p(perm(esk1_0)),esk1_0)
    | minus(p(perm(esk2_0)),esk2_0) = minus(p(perm(esk1_0)),esk1_0)
    | p(perm(esk2_0)) = p(perm(esk1_0)) ),
    inference(sr,[status(thm)],[c_0_51,c_0_43]) ).

cnf(c_0_59,plain,
    ( plus(X1,X2) = plus(X3,X4)
    | minus(X1,X3) != minus(X4,X2) ),
    i_0_20 ).

cnf(c_0_60,plain,
    ( p(X1) != p(X2)
    | ~ queens_p
    | ~ le(X2,n)
    | ~ le(X1,n)
    | ~ le(s(X1),X2)
    | ~ le(s(n0),X1) ),
    i_0_3 ).

cnf(c_0_61,negated_conjecture,
    queens_p,
    i_0_14 ).

cnf(c_0_62,plain,
    le(perm(esk1_0),n),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).

cnf(c_0_63,plain,
    ( le(X1,perm(esk1_0))
    | ~ le(X1,s(perm(esk2_0))) ),
    inference(spm,[status(thm)],[c_0_44,c_0_55]) ).

cnf(c_0_64,plain,
    ( queens_q
    | le(esk2_0,n) ),
    i_0_8 ).

cnf(c_0_65,plain,
    ( le(X1,esk2_0)
    | ~ le(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_44,c_0_56]) ).

cnf(c_0_66,plain,
    minus(perm(X1),perm(X2)) = minus(X2,X1),
    i_0_17 ).

cnf(c_0_67,negated_conjecture,
    ( minus(p(perm(esk2_0)),esk2_0) = minus(p(perm(esk1_0)),esk1_0)
    | minus(X1,p(perm(esk2_0))) = minus(esk2_0,X2)
    | p(perm(esk2_0)) = p(perm(esk1_0))
    | plus(X1,X2) != plus(p(perm(esk1_0)),esk1_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_68,plain,
    plus(X1,X2) = plus(X2,X1),
    inference(er,[status(thm)],[c_0_59]) ).

cnf(c_0_69,plain,
    ( p(X1) != p(X2)
    | ~ le(s(n0),X1)
    | ~ le(s(X1),X2)
    | ~ le(X2,n)
    | ~ le(X1,n) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]) ).

cnf(c_0_70,plain,
    ( le(X1,n)
    | ~ le(X1,perm(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_44,c_0_62]) ).

cnf(c_0_71,plain,
    le(perm(esk2_0),perm(esk1_0)),
    inference(spm,[status(thm)],[c_0_63,c_0_50]) ).

cnf(c_0_72,plain,
    ( le(s(n0),perm(X1))
    | ~ le(X1,n)
    | ~ le(s(n0),X1) ),
    i_0_16 ).

cnf(c_0_73,plain,
    le(esk2_0,n),
    inference(sr,[status(thm)],[c_0_64,c_0_43]) ).

cnf(c_0_74,plain,
    le(s(n0),esk2_0),
    inference(spm,[status(thm)],[c_0_65,c_0_54]) ).

cnf(c_0_75,plain,
    ( minus(X1,X2) = minus(X3,X4)
    | minus(X1,X3) != minus(X2,X4) ),
    i_0_22 ).

cnf(c_0_76,plain,
    ( plus(X1,perm(X2)) = plus(X3,perm(X4))
    | minus(X1,X3) != minus(X2,X4) ),
    inference(spm,[status(thm)],[c_0_59,c_0_66]) ).

cnf(c_0_77,negated_conjecture,
    ( minus(p(perm(esk2_0)),esk2_0) = minus(p(perm(esk1_0)),esk1_0)
    | minus(X1,p(perm(esk2_0))) = minus(esk2_0,X2)
    | p(perm(esk2_0)) = p(perm(esk1_0))
    | plus(X1,X2) != plus(esk1_0,p(perm(esk1_0))) ),
    inference(rw,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_78,plain,
    ( p(X1) != p(perm(esk1_0))
    | ~ le(s(X1),perm(esk1_0))
    | ~ le(s(n0),X1)
    | ~ le(X1,n) ),
    inference(spm,[status(thm)],[c_0_69,c_0_62]) ).

cnf(c_0_79,plain,
    le(perm(esk2_0),n),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_80,plain,
    le(s(n0),perm(esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).

cnf(c_0_81,plain,
    ( minus(X1,perm(X2)) = minus(X3,perm(X4))
    | minus(X1,X3) != minus(X4,X2) ),
    inference(spm,[status(thm)],[c_0_75,c_0_66]) ).

cnf(c_0_82,plain,
    ( plus(X1,perm(perm(X2))) = plus(X3,perm(perm(X4)))
    | minus(X1,X3) != minus(X4,X2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_66]) ).

cnf(c_0_83,plain,
    ( minus(p(X1),X1) != minus(p(X2),X2)
    | ~ queens_p
    | ~ le(X2,n)
    | ~ le(X1,n)
    | ~ le(s(X1),X2)
    | ~ le(s(n0),X1) ),
    i_0_1 ).

cnf(c_0_84,negated_conjecture,
    ( minus(esk2_0,p(perm(esk1_0))) = minus(esk1_0,p(perm(esk2_0)))
    | minus(p(perm(esk2_0)),esk2_0) = minus(p(perm(esk1_0)),esk1_0)
    | p(perm(esk2_0)) = p(perm(esk1_0)) ),
    inference(er,[status(thm)],[c_0_77]) ).

cnf(c_0_85,plain,
    p(perm(esk2_0)) != p(perm(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_55]),c_0_80])]) ).

cnf(c_0_86,plain,
    minus(X1,perm(X2)) = minus(X2,perm(X1)),
    inference(er,[status(thm)],[c_0_81]) ).

cnf(c_0_87,plain,
    plus(X1,perm(perm(X2))) = plus(X2,perm(perm(X1))),
    inference(er,[status(thm)],[c_0_82]) ).

cnf(c_0_88,plain,
    ( plus(p(X1),X1) != plus(p(X2),X2)
    | ~ queens_p
    | ~ le(X2,n)
    | ~ le(X1,n)
    | ~ le(s(X1),X2)
    | ~ le(s(n0),X1) ),
    i_0_2 ).

cnf(c_0_89,plain,
    ( minus(p(X1),X1) != minus(p(X2),X2)
    | ~ le(s(n0),X1)
    | ~ le(s(X1),X2)
    | ~ le(X2,n)
    | ~ le(X1,n) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_61])]) ).

cnf(c_0_90,negated_conjecture,
    ( minus(p(perm(esk2_0)),esk2_0) = minus(p(perm(esk1_0)),esk1_0)
    | minus(esk2_0,p(perm(esk1_0))) = minus(esk1_0,p(perm(esk2_0))) ),
    inference(sr,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_91,plain,
    minus(X1,perm(perm(X2))) = minus(X1,X2),
    inference(spm,[status(thm)],[c_0_66,c_0_86]) ).

cnf(c_0_92,plain,
    plus(perm(perm(X1)),X2) = plus(X1,perm(perm(X2))),
    inference(spm,[status(thm)],[c_0_68,c_0_87]) ).

cnf(c_0_93,plain,
    ( plus(p(X1),X1) != plus(p(X2),X2)
    | ~ le(s(n0),X1)
    | ~ le(s(X1),X2)
    | ~ le(X2,n)
    | ~ le(X1,n) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_61])]) ).

cnf(c_0_94,negated_conjecture,
    ( minus(p(perm(esk1_0)),p(perm(esk2_0))) = minus(esk2_0,esk1_0)
    | minus(p(perm(esk2_0)),esk2_0) = minus(p(perm(esk1_0)),esk1_0)
    | p(perm(esk2_0)) = p(perm(esk1_0)) ),
    inference(er,[status(thm)],[c_0_67]) ).

cnf(c_0_95,plain,
    ( minus(p(X1),X1) != minus(p(perm(esk1_0)),perm(esk1_0))
    | ~ le(s(X1),perm(esk1_0))
    | ~ le(s(n0),X1)
    | ~ le(X1,n) ),
    inference(spm,[status(thm)],[c_0_89,c_0_62]) ).

cnf(c_0_96,plain,
    ( minus(esk2_0,p(perm(esk1_0))) = minus(esk1_0,p(perm(esk2_0)))
    | minus(p(perm(esk2_0)),perm(X1)) = minus(esk2_0,perm(X2))
    | minus(p(perm(esk1_0)),esk1_0) != minus(X2,X1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_90]) ).

cnf(c_0_97,plain,
    ( plus(X1,X2) = plus(X3,perm(perm(X4)))
    | minus(X1,X3) != minus(X4,X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_91]),c_0_92]) ).

cnf(c_0_98,plain,
    ( plus(X1,p(X1)) != plus(X2,p(X2))
    | ~ le(s(n0),X1)
    | ~ le(s(X1),X2)
    | ~ le(X2,n)
    | ~ le(X1,n) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_68]),c_0_68]) ).

cnf(c_0_99,negated_conjecture,
    ( minus(p(perm(esk2_0)),esk2_0) = minus(p(perm(esk1_0)),esk1_0)
    | minus(p(perm(esk1_0)),p(perm(esk2_0))) = minus(esk2_0,esk1_0) ),
    inference(sr,[status(thm)],[c_0_94,c_0_85]) ).

cnf(c_0_100,plain,
    minus(p(perm(esk2_0)),perm(esk2_0)) != minus(p(perm(esk1_0)),perm(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_79]),c_0_55]),c_0_80])]) ).

cnf(c_0_101,plain,
    ( plus(perm(X1),perm(X2)) = plus(perm(X3),perm(X4))
    | minus(X3,X1) != minus(X2,X4) ),
    inference(spm,[status(thm)],[c_0_76,c_0_66]) ).

cnf(c_0_102,plain,
    ( minus(esk2_0,perm(p(perm(esk1_0)))) = minus(esk1_0,perm(p(perm(esk2_0))))
    | minus(esk2_0,p(perm(esk1_0))) = minus(esk1_0,p(perm(esk2_0))) ),
    inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_96]),c_0_86]) ).

cnf(c_0_103,plain,
    plus(X1,perm(perm(X2))) = plus(X2,X1),
    inference(er,[status(thm)],[c_0_97]) ).

cnf(c_0_104,plain,
    ( plus(X1,p(X1)) != plus(perm(esk1_0),p(perm(esk1_0)))
    | ~ le(s(X1),perm(esk1_0))
    | ~ le(s(n0),X1)
    | ~ le(X1,n) ),
    inference(spm,[status(thm)],[c_0_98,c_0_62]) ).

cnf(c_0_105,plain,
    ( minus(p(perm(esk1_0)),perm(X1)) = minus(p(perm(esk2_0)),perm(X2))
    | minus(p(perm(esk2_0)),esk2_0) = minus(p(perm(esk1_0)),esk1_0)
    | minus(esk2_0,esk1_0) != minus(X2,X1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_99]) ).

cnf(c_0_106,plain,
    minus(esk2_0,perm(p(perm(esk2_0)))) != minus(esk1_0,perm(p(perm(esk1_0)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_86]),c_0_86]) ).

cnf(c_0_107,plain,
    ( minus(esk2_0,p(perm(esk1_0))) = minus(esk1_0,p(perm(esk2_0)))
    | plus(perm(X1),perm(esk2_0)) = plus(p(perm(esk1_0)),perm(X2))
    | minus(X2,X1) != minus(esk1_0,perm(p(perm(esk2_0)))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).

cnf(c_0_108,plain,
    plus(perm(perm(X1)),X2) = plus(X2,X1),
    inference(rw,[status(thm)],[c_0_92,c_0_103]) ).

cnf(c_0_109,plain,
    plus(perm(esk2_0),p(perm(esk2_0))) != plus(perm(esk1_0),p(perm(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_79]),c_0_55]),c_0_80])]) ).

cnf(c_0_110,plain,
    minus(p(perm(esk2_0)),esk2_0) = minus(p(perm(esk1_0)),esk1_0),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_105]),c_0_86]),c_0_86]),c_0_106]) ).

cnf(c_0_111,plain,
    minus(esk2_0,p(perm(esk1_0))) = minus(esk1_0,p(perm(esk2_0))),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_107]),c_0_108]),c_0_68]),c_0_109]) ).

cnf(c_0_112,plain,
    ( minus(X1,p(perm(esk2_0))) = minus(X2,esk2_0)
    | minus(X1,X2) != minus(p(perm(esk1_0)),esk1_0) ),
    inference(spm,[status(thm)],[c_0_75,c_0_110]) ).

cnf(c_0_113,plain,
    ( minus(esk2_0,X1) = minus(p(perm(esk1_0)),X2)
    | minus(esk1_0,p(perm(esk2_0))) != minus(X1,X2) ),
    inference(spm,[status(thm)],[c_0_75,c_0_111]) ).

cnf(c_0_114,plain,
    minus(p(perm(esk1_0)),p(perm(esk2_0))) = minus(esk1_0,esk2_0),
    inference(er,[status(thm)],[c_0_112]) ).

cnf(c_0_115,plain,
    minus(esk2_0,esk1_0) = minus(esk1_0,esk2_0),
    inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_113]),c_0_114]) ).

cnf(c_0_116,plain,
    ( minus(esk2_0,perm(X1)) = minus(esk1_0,perm(X2))
    | minus(esk1_0,esk2_0) != minus(X2,X1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_115]) ).

cnf(c_0_117,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_114]),c_0_106]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : PUZ133+2 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n025.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sun May 29 01:56:13 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected complete mode:
% 11.21/2.79  # ENIGMATIC: Solved by autoschedule:
% 11.21/2.79  # No SInE strategy applied
% 11.21/2.79  # Trying AutoSched0 for 150 seconds
% 11.21/2.79  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 11.21/2.79  # and selection function SelectNewComplexAHP.
% 11.21/2.79  #
% 11.21/2.79  # Preprocessing time       : 0.024 s
% 11.21/2.79  # Presaturation interreduction done
% 11.21/2.79  
% 11.21/2.79  # Proof found!
% 11.21/2.79  # SZS status Theorem
% 11.21/2.79  # SZS output start CNFRefutation
% See solution above
% 11.21/2.79  # Training examples: 0 positive, 0 negative
% 11.21/2.79  
% 11.21/2.79  # -------------------------------------------------
% 11.21/2.79  # User time                : 0.599 s
% 11.21/2.79  # System time              : 0.011 s
% 11.21/2.79  # Total time               : 0.610 s
% 11.21/2.79  # Maximum resident set size: 7120 pages
% 11.21/2.79  
%------------------------------------------------------------------------------