TSTP Solution File: SWV103+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV103+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 : Wed Jul 20 17:45:51 EDT 2022

% Result   : Theorem 8.33s 2.54s
% Output   : CNFRefutation 8.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   39
% Syntax   : Number of clauses     :  131 (  90 unt;  30 nHn; 102 RR)
%            Number of literals    :  407 ( 361 equ;  88 neg)
%            Maximal clause size   :   15 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  10 con; 0-3 aty)
%            Number of variables   :   61 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_126,negated_conjecture,
    ( a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_126) ).

cnf(i_0_129,negated_conjecture,
    a_select2(xinit_defuse,n3) = use,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_129) ).

cnf(i_0_128,negated_conjecture,
    a_select2(xinit_defuse,n4) = use,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_128) ).

cnf(i_0_127,negated_conjecture,
    a_select2(xinit_defuse,n5) = use,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_127) ).

cnf(i_0_134,plain,
    a_select2(tptp_update2(X1,X2,X3),X2) = X3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_134) ).

cnf(i_0_132,negated_conjecture,
    a_select3(u_defuse,n0,n0) = use,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_132) ).

cnf(i_0_131,negated_conjecture,
    a_select3(u_defuse,n1,n0) = use,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_131) ).

cnf(i_0_130,negated_conjecture,
    a_select3(u_defuse,n2,n0) = use,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_130) ).

cnf(i_0_135,plain,
    ( X1 = X2
    | a_select2(tptp_update2(X3,X1,X4),X2) = X5
    | a_select2(X3,X2) != X5 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_135) ).

cnf(i_0_32,plain,
    ~ gt(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_32) ).

cnf(i_0_39,plain,
    ( gt(X1,X2)
    | ~ leq(plus(X2,n1),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_39) ).

cnf(i_0_154,plain,
    plus(plus(X1,n1),n1) = plus(X1,n2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_154) ).

cnf(i_0_151,plain,
    plus(n1,X1) = plus(X1,n1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_151) ).

cnf(i_0_38,plain,
    ( leq(X1,plus(X2,n1))
    | ~ leq(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_38) ).

cnf(i_0_153,plain,
    plus(plus(X1,n1),n1) = plus(n2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_153) ).

cnf(i_0_147,plain,
    plus(plus(n0,n1),n1) = n2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_147) ).

cnf(i_0_146,plain,
    plus(n0,n1) = n1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_146) ).

cnf(i_0_29,plain,
    gt(n5,n4),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_29) ).

cnf(i_0_35,plain,
    ( leq(X1,minus(X2,n1))
    | ~ gt(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_35) ).

cnf(i_0_125,plain,
    minus(plus(X1,n1),n1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_125) ).

cnf(i_0_148,plain,
    plus(plus(plus(n0,n1),n1),n1) = n3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_148) ).

cnf(i_0_28,plain,
    gt(n5,n3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_28) ).

cnf(i_0_26,plain,
    gt(n5,n1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_26) ).

cnf(i_0_25,plain,
    gt(n5,n0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_25) ).

cnf(i_0_23,plain,
    gt(n4,n3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_23) ).

cnf(i_0_21,plain,
    gt(n4,n1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_21) ).

cnf(i_0_20,plain,
    gt(n4,n0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_20) ).

cnf(i_0_156,plain,
    plus(plus(plus(X1,n1),n1),n1) = plus(X1,n3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_156) ).

cnf(i_0_18,plain,
    gt(n3,n2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_18) ).

cnf(i_0_158,plain,
    plus(plus(plus(plus(X1,n1),n1),n1),n1) = plus(X1,n4),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_158) ).

cnf(i_0_17,plain,
    gt(n3,n1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_17) ).

cnf(i_0_160,plain,
    plus(plus(plus(plus(plus(X1,n1),n1),n1),n1),n1) = plus(X1,n5),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_160) ).

cnf(i_0_16,plain,
    gt(n3,n0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_16) ).

cnf(i_0_149,plain,
    plus(plus(plus(plus(n0,n1),n1),n1),n1) = n4,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_149) ).

cnf(i_0_159,plain,
    plus(plus(plus(plus(plus(X1,n1),n1),n1),n1),n1) = plus(n5,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_159) ).

cnf(i_0_14,plain,
    gt(n2,n1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_14) ).

cnf(i_0_150,plain,
    plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1) = n5,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_150) ).

cnf(i_0_13,plain,
    gt(n2,n0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_13) ).

cnf(i_0_133,plain,
    leq(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ehk0zwk/input.p',i_0_133) ).

cnf(c_0_200,negated_conjecture,
    ( a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use ),
    i_0_126 ).

cnf(c_0_201,negated_conjecture,
    a_select2(xinit_defuse,n3) = use,
    i_0_129 ).

cnf(c_0_202,negated_conjecture,
    a_select2(xinit_defuse,n4) = use,
    i_0_128 ).

cnf(c_0_203,negated_conjecture,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_defuse,n5) != use ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_201]),c_0_202])]) ).

cnf(c_0_204,negated_conjecture,
    a_select2(xinit_defuse,n5) = use,
    i_0_127 ).

cnf(c_0_205,plain,
    a_select2(tptp_update2(X1,X2,X3),X2) = X3,
    i_0_134 ).

cnf(c_0_206,negated_conjecture,
    a_select3(u_defuse,n0,n0) = use,
    i_0_132 ).

cnf(c_0_207,negated_conjecture,
    a_select3(u_defuse,n1,n0) = use,
    i_0_131 ).

cnf(c_0_208,negated_conjecture,
    a_select3(u_defuse,n2,n0) = use,
    i_0_130 ).

cnf(c_0_209,plain,
    ( X1 = X2
    | a_select2(tptp_update2(X3,X1,X4),X2) = X5
    | a_select2(X3,X2) != X5 ),
    i_0_135 ).

cnf(c_0_210,negated_conjecture,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use ),
    inference(cn,[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)],[c_0_203,c_0_204])]),c_0_205]),c_0_206]),c_0_207]),c_0_208])]) ).

cnf(c_0_211,plain,
    ( a_select2(tptp_update2(X1,X2,X3),X4) = a_select2(X1,X4)
    | X2 = X4 ),
    inference(er,[status(thm)],[c_0_209]) ).

cnf(c_0_212,negated_conjecture,
    ( n5 = n4
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_205])]) ).

cnf(c_0_213,plain,
    ( n5 = n3
    | n5 = n4
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use ),
    inference(spm,[status(thm)],[c_0_212,c_0_211]) ).

cnf(c_0_214,plain,
    ( n4 = n3
    | n5 = n4
    | n5 = n3
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_211]),c_0_205])]) ).

cnf(c_0_215,plain,
    ( n5 = n0
    | n5 = n3
    | n5 = n4
    | n4 = n3
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use ),
    inference(spm,[status(thm)],[c_0_214,c_0_211]) ).

cnf(c_0_216,plain,
    ( n4 = n0
    | n4 = n3
    | n5 = n4
    | n5 = n3
    | n5 = n0
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use ),
    inference(spm,[status(thm)],[c_0_215,c_0_211]) ).

cnf(c_0_217,plain,
    ( n3 = n0
    | n5 = n0
    | n5 = n3
    | n5 = n4
    | n4 = n3
    | n4 = n0
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n0) != use ),
    inference(spm,[status(thm)],[c_0_216,c_0_211]) ).

cnf(c_0_218,plain,
    ( n2 = n0
    | n4 = n0
    | n4 = n3
    | n5 = n4
    | n5 = n3
    | n5 = n0
    | n3 = n0
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n0) != use ),
    inference(spm,[status(thm)],[c_0_217,c_0_211]) ).

cnf(c_0_219,plain,
    ( n1 = n0
    | n3 = n0
    | n5 = n0
    | n5 = n3
    | n5 = n4
    | n4 = n3
    | n4 = n0
    | n2 = n0
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_211]),c_0_205])]) ).

cnf(c_0_220,plain,
    ( n5 = n1
    | n2 = n0
    | n4 = n0
    | n4 = n3
    | n5 = n4
    | n5 = n3
    | n5 = n0
    | n3 = n0
    | n1 = n0
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use ),
    inference(spm,[status(thm)],[c_0_219,c_0_211]) ).

cnf(c_0_221,plain,
    ( n4 = n1
    | n1 = n0
    | n3 = n0
    | n5 = n0
    | n5 = n3
    | n5 = n4
    | n4 = n3
    | n4 = n0
    | n2 = n0
    | n5 = n1
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use ),
    inference(spm,[status(thm)],[c_0_220,c_0_211]) ).

cnf(c_0_222,plain,
    ( n3 = n1
    | n5 = n1
    | n2 = n0
    | n4 = n0
    | n4 = n3
    | n5 = n4
    | n5 = n3
    | n5 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n1) != use ),
    inference(spm,[status(thm)],[c_0_221,c_0_211]) ).

cnf(c_0_223,plain,
    ( n2 = n1
    | n4 = n1
    | n1 = n0
    | n3 = n0
    | n5 = n0
    | n5 = n3
    | n5 = n4
    | n4 = n3
    | n4 = n0
    | n2 = n0
    | n5 = n1
    | n3 = n1
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_211]),c_0_205])]) ).

cnf(c_0_224,plain,
    ( n5 = n2
    | n3 = n1
    | n5 = n1
    | n2 = n0
    | n4 = n0
    | n4 = n3
    | n5 = n4
    | n5 = n3
    | n5 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | n2 = n1
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use ),
    inference(spm,[status(thm)],[c_0_223,c_0_211]) ).

cnf(c_0_225,plain,
    ~ gt(X1,X1),
    i_0_32 ).

cnf(c_0_226,plain,
    ( gt(X1,X2)
    | ~ leq(plus(X2,n1),X1) ),
    i_0_39 ).

cnf(c_0_227,plain,
    plus(plus(X1,n1),n1) = plus(X1,n2),
    i_0_154 ).

cnf(c_0_228,plain,
    plus(n1,X1) = plus(X1,n1),
    i_0_151 ).

cnf(c_0_229,plain,
    ( n4 = n2
    | n2 = n1
    | n4 = n1
    | n1 = n0
    | n3 = n0
    | n5 = n0
    | n5 = n3
    | n5 = n4
    | n4 = n3
    | n4 = n0
    | n2 = n0
    | n5 = n1
    | n3 = n1
    | n5 = n2
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use ),
    inference(spm,[status(thm)],[c_0_224,c_0_211]) ).

cnf(c_0_230,plain,
    ~ leq(plus(X1,n1),X1),
    inference(spm,[status(thm)],[c_0_225,c_0_226]) ).

cnf(c_0_231,plain,
    ( leq(X1,plus(X2,n1))
    | ~ leq(X1,X2) ),
    i_0_38 ).

cnf(c_0_232,plain,
    plus(n1,plus(X1,n1)) = plus(X1,n2),
    inference(rw,[status(thm)],[c_0_227,c_0_228]) ).

cnf(c_0_233,plain,
    plus(plus(X1,n1),n1) = plus(n2,X1),
    i_0_153 ).

cnf(c_0_234,plain,
    plus(plus(n0,n1),n1) = n2,
    i_0_147 ).

cnf(c_0_235,plain,
    plus(n0,n1) = n1,
    i_0_146 ).

cnf(c_0_236,plain,
    gt(n5,n4),
    i_0_29 ).

cnf(c_0_237,plain,
    ( n3 = n2
    | n5 = n2
    | n3 = n1
    | n5 = n1
    | n2 = n0
    | n4 = n0
    | n4 = n3
    | n5 = n4
    | n5 = n3
    | n5 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | n2 = n1
    | n4 = n2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_211]),c_0_205])]) ).

cnf(c_0_238,plain,
    ~ leq(plus(X1,n2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_228]),c_0_232]) ).

cnf(c_0_239,plain,
    ( leq(X1,minus(X2,n1))
    | ~ gt(X2,X1) ),
    i_0_35 ).

cnf(c_0_240,plain,
    plus(X1,n2) = plus(n2,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_228]),c_0_232]) ).

cnf(c_0_241,plain,
    minus(plus(X1,n1),n1) = X1,
    i_0_125 ).

cnf(c_0_242,plain,
    plus(n1,n1) = n2,
    inference(rw,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_243,plain,
    plus(plus(plus(n0,n1),n1),n1) = n3,
    i_0_148 ).

cnf(c_0_244,plain,
    gt(n5,n3),
    i_0_28 ).

cnf(c_0_245,plain,
    ( n4 = n2
    | n2 = n1
    | n4 = n1
    | n1 = n0
    | n3 = n0
    | n5 = n0
    | n5 = n3
    | n4 = n3
    | n4 = n0
    | n2 = n0
    | n5 = n1
    | n3 = n1
    | n5 = n2
    | n3 = n2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_225]) ).

cnf(c_0_246,plain,
    ~ gt(X1,plus(n2,minus(X1,n1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_240]) ).

cnf(c_0_247,plain,
    minus(n2,n1) = n1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_228]),c_0_242]) ).

cnf(c_0_248,plain,
    plus(n1,n2) = n3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_235]),c_0_242]),c_0_228]) ).

cnf(c_0_249,plain,
    ( n3 = n2
    | n5 = n2
    | n3 = n1
    | n5 = n1
    | n2 = n0
    | n4 = n0
    | n4 = n3
    | n5 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | n2 = n1
    | n4 = n2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_225]) ).

cnf(c_0_250,plain,
    ~ gt(n2,n3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_228]),c_0_248]) ).

cnf(c_0_251,plain,
    gt(n5,n1),
    i_0_26 ).

cnf(c_0_252,plain,
    ( n4 = n2
    | n2 = n1
    | n4 = n1
    | n1 = n0
    | n3 = n0
    | n5 = n0
    | n4 = n3
    | n4 = n0
    | n2 = n0
    | n5 = n1
    | n3 = n1
    | n3 = n2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_249]),c_0_250]) ).

cnf(c_0_253,plain,
    gt(n5,n0),
    i_0_25 ).

cnf(c_0_254,plain,
    ( n3 = n2
    | n3 = n1
    | n2 = n0
    | n4 = n0
    | n4 = n3
    | n5 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | n2 = n1
    | n4 = n2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_225]) ).

cnf(c_0_255,plain,
    gt(n4,n3),
    i_0_23 ).

cnf(c_0_256,plain,
    ( n4 = n2
    | n2 = n1
    | n4 = n1
    | n1 = n0
    | n3 = n0
    | n4 = n3
    | n4 = n0
    | n2 = n0
    | n3 = n1
    | n3 = n2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_225]) ).

cnf(c_0_257,plain,
    ( n3 = n2
    | n3 = n1
    | n2 = n0
    | n4 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | n2 = n1
    | n4 = n2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_225]) ).

cnf(c_0_258,plain,
    gt(n4,n1),
    i_0_21 ).

cnf(c_0_259,plain,
    ( n2 = n1
    | n4 = n1
    | n1 = n0
    | n3 = n0
    | n4 = n0
    | n2 = n0
    | n3 = n1
    | n3 = n2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_257]),c_0_250]) ).

cnf(c_0_260,plain,
    gt(n4,n0),
    i_0_20 ).

cnf(c_0_261,plain,
    ( n3 = n2
    | n3 = n1
    | n2 = n0
    | n4 = n0
    | n3 = n0
    | n1 = n0
    | n2 = n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_225]) ).

cnf(c_0_262,plain,
    plus(plus(plus(X1,n1),n1),n1) = plus(X1,n3),
    i_0_156 ).

cnf(c_0_263,plain,
    gt(n3,n2),
    i_0_18 ).

cnf(c_0_264,plain,
    ( n2 = n1
    | n1 = n0
    | n3 = n0
    | n2 = n0
    | n3 = n1
    | n3 = n2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_225]) ).

cnf(c_0_265,plain,
    plus(plus(plus(plus(X1,n1),n1),n1),n1) = plus(X1,n4),
    i_0_158 ).

cnf(c_0_266,plain,
    plus(n1,plus(X1,n2)) = plus(X1,n3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_262,c_0_228]),c_0_232]),c_0_228]) ).

cnf(c_0_267,plain,
    gt(n3,n1),
    i_0_17 ).

cnf(c_0_268,plain,
    ( n3 = n1
    | n2 = n0
    | n3 = n0
    | n1 = n0
    | n2 = n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_225]) ).

cnf(c_0_269,plain,
    plus(plus(plus(plus(plus(X1,n1),n1),n1),n1),n1) = plus(X1,n5),
    i_0_160 ).

cnf(c_0_270,plain,
    plus(n1,plus(X1,n3)) = plus(X1,n4),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_265,c_0_228]),c_0_232]),c_0_228]),c_0_266]),c_0_228]) ).

cnf(c_0_271,plain,
    gt(n3,n0),
    i_0_16 ).

cnf(c_0_272,plain,
    ( n2 = n1
    | n1 = n0
    | n3 = n0
    | n2 = n0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_225]) ).

cnf(c_0_273,plain,
    plus(n0,n2) = n2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_235]),c_0_242]) ).

cnf(c_0_274,plain,
    plus(plus(plus(plus(n0,n1),n1),n1),n1) = n4,
    i_0_149 ).

cnf(c_0_275,plain,
    plus(plus(plus(plus(plus(X1,n1),n1),n1),n1),n1) = plus(n5,X1),
    i_0_159 ).

cnf(c_0_276,plain,
    plus(n1,plus(X1,n4)) = plus(X1,n5),
    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_269,c_0_228]),c_0_232]),c_0_228]),c_0_266]),c_0_228]),c_0_270]),c_0_228]) ).

cnf(c_0_277,plain,
    gt(n2,n1),
    i_0_14 ).

cnf(c_0_278,plain,
    ( n2 = n0
    | n1 = n0
    | n2 = n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_225]) ).

cnf(c_0_279,plain,
    plus(n0,n3) = n3,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_273]),c_0_248]) ).

cnf(c_0_280,plain,
    plus(n1,n3) = n4,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_235]),c_0_242]),c_0_228]),c_0_248]),c_0_228]) ).

cnf(c_0_281,plain,
    plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1) = n5,
    i_0_150 ).

cnf(c_0_282,plain,
    plus(X1,n5) = plus(n5,X1),
    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_275,c_0_228]),c_0_232]),c_0_228]),c_0_266]),c_0_228]),c_0_270]),c_0_228]),c_0_276]) ).

cnf(c_0_283,plain,
    gt(n2,n0),
    i_0_13 ).

cnf(c_0_284,plain,
    ( n1 = n0
    | n2 = n0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_225]) ).

cnf(c_0_285,plain,
    plus(n0,n4) = n4,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_279]),c_0_280]) ).

cnf(c_0_286,plain,
    plus(n1,n4) = n5,
    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_281,c_0_235]),c_0_242]),c_0_228]),c_0_248]),c_0_228]),c_0_280]),c_0_228]) ).

cnf(c_0_287,plain,
    ~ leq(plus(n1,n5),n5),
    inference(spm,[status(thm)],[c_0_230,c_0_282]) ).

cnf(c_0_288,plain,
    n1 = n0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_225]) ).

cnf(c_0_289,plain,
    plus(n0,n5) = n5,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_285]),c_0_286]) ).

cnf(c_0_290,plain,
    leq(X1,X1),
    i_0_133 ).

cnf(c_0_291,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_287,c_0_288]),c_0_289]),c_0_290])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV103+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n008.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun 15 04:45:39 EDT 2022
% 0.12/0.34  % 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
% 8.33/2.54  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 8.33/2.54  # Version: 2.1pre011
% 8.33/2.54  # Preprocessing time       : 0.100 s
% 8.33/2.54  
% 8.33/2.54  # Proof found!
% 8.33/2.54  # SZS status Theorem
% 8.33/2.54  # SZS output start CNFRefutation
% See solution above
% 8.33/2.54  # Proof object total steps             : 131
% 8.33/2.54  # Proof object clause steps            : 92
% 8.33/2.54  # Proof object formula steps           : 39
% 8.33/2.54  # Proof object conjectures             : 17
% 8.33/2.54  # Proof object clause conjectures      : 10
% 8.33/2.54  # Proof object formula conjectures     : 7
% 8.33/2.54  # Proof object initial clauses used    : 39
% 8.33/2.54  # Proof object initial formulas used   : 39
% 8.33/2.54  # Proof object generating inferences   : 40
% 8.33/2.54  # Proof object simplifying inferences  : 90
% 8.33/2.54  # Training examples: 0 positive, 0 negative
% 8.33/2.54  # Parsed axioms                        : 192
% 8.33/2.54  # Removed by relevancy pruning/SinE    : 0
% 8.33/2.54  # Initial clauses                      : 192
% 8.33/2.54  # Removed in clause preprocessing      : 0
% 8.33/2.54  # Initial clauses in saturation        : 192
% 8.33/2.54  # Processed clauses                    : 454
% 8.33/2.54  # ...of these trivial                  : 11
% 8.33/2.54  # ...subsumed                          : 89
% 8.33/2.54  # ...remaining for further processing  : 354
% 8.33/2.54  # Other redundant clauses eliminated   : 8
% 8.33/2.54  # Clauses deleted for lack of memory   : 0
% 8.33/2.54  # Backward-subsumed                    : 27
% 8.33/2.54  # Backward-rewritten                   : 101
% 8.33/2.54  # Generated clauses                    : 2900
% 8.33/2.54  # ...of the previous two non-trivial   : 2536
% 8.33/2.54  # Contextual simplify-reflections      : 5
% 8.33/2.54  # Paramodulations                      : 2835
% 8.33/2.54  # Factorizations                       : 52
% 8.33/2.54  # Equation resolutions                 : 13
% 8.33/2.54  # Propositional unsat checks           : 0
% 8.33/2.54  # Propositional unsat check successes  : 0
% 8.33/2.54  # Current number of processed clauses  : 225
% 8.33/2.54  #    Positive orientable unit clauses  : 48
% 8.33/2.54  #    Positive unorientable unit clauses: 4
% 8.33/2.54  #    Negative unit clauses             : 29
% 8.33/2.54  #    Non-unit-clauses                  : 144
% 8.33/2.54  # Current number of unprocessed clauses: 988
% 8.33/2.54  # ...number of literals in the above   : 5892
% 8.33/2.54  # Current number of archived formulas  : 0
% 8.33/2.54  # Current number of archived clauses   : 128
% 8.33/2.54  # Clause-clause subsumption calls (NU) : 20320
% 8.33/2.54  # Rec. Clause-clause subsumption calls : 1135
% 8.33/2.54  # Non-unit clause-clause subsumptions  : 39
% 8.33/2.54  # Unit Clause-clause subsumption calls : 2893
% 8.33/2.54  # Rewrite failures with RHS unbound    : 0
% 8.33/2.54  # BW rewrite match attempts            : 25
% 8.33/2.54  # BW rewrite match successes           : 13
% 8.33/2.54  # Condensation attempts                : 0
% 8.33/2.54  # Condensation successes               : 0
% 8.33/2.54  # Termbank termtop insertions          : 64737
% 8.33/2.54  
% 8.33/2.54  # -------------------------------------------------
% 8.33/2.54  # User time                : 0.152 s
% 8.33/2.54  # System time              : 0.004 s
% 8.33/2.54  # Total time               : 0.156 s
% 8.33/2.54  # ...preprocessing         : 0.100 s
% 8.33/2.54  # ...main loop             : 0.056 s
% 8.33/2.54  # Maximum resident set size: 7856 pages
% 8.33/2.54  
%------------------------------------------------------------------------------