TSTP Solution File: ALG215+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG215+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 14 15:33:02 EDT 2022

% Result   : Theorem 8.12s 2.54s
% Output   : CNFRefutation 8.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   26
% Syntax   : Number of clauses     :   66 (  47 unt;  13 nHn;  60 RR)
%            Number of literals    :  281 (  10 equ; 197 neg)
%            Maximal clause size   :   21 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   20 (  18 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   53 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_27,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_tarski(k2_rmod_4(X2,X1,X3),X4)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ m1_rmod_4(X3,X2,X1)
    | ~ m2_rmod_4(X3,X2,X1,X4)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_27) ).

cnf(i_0_60,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(X3,X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ m2_rmod_4(X3,X2,X1,X4)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_60) ).

cnf(i_0_23,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_rmod_5(X3,X2,X1)
    | m2_rmod_4(esk3_3(X2,X1,X3),X2,X1,X3)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_23) ).

cnf(i_0_6,negated_conjecture,
    v4_rlvect_1(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_6) ).

cnf(i_0_4,negated_conjecture,
    v6_rlvect_1(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_4) ).

cnf(i_0_5,negated_conjecture,
    v5_rlvect_1(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_5) ).

cnf(i_0_7,negated_conjecture,
    v3_rlvect_1(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_7) ).

cnf(i_0_8,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_8) ).

cnf(i_0_118,plain,
    ( X1 = k1_xboole_0
    | ~ v1_xboole_0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_118) ).

cnf(i_0_33,plain,
    v1_xboole_0(k1_subset_1(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_33) ).

cnf(i_0_14,negated_conjecture,
    v6_rlvect_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_14) ).

cnf(i_0_9,negated_conjecture,
    l3_vectsp_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_9) ).

cnf(i_0_10,negated_conjecture,
    v8_vectsp_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_10) ).

cnf(i_0_11,negated_conjecture,
    v7_vectsp_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_11) ).

cnf(i_0_12,negated_conjecture,
    v6_vectsp_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_12) ).

cnf(i_0_13,negated_conjecture,
    v4_group_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_13) ).

cnf(i_0_15,negated_conjecture,
    v5_rlvect_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_15) ).

cnf(i_0_16,negated_conjecture,
    v4_rlvect_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_16) ).

cnf(i_0_17,negated_conjecture,
    v3_rlvect_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_17) ).

cnf(i_0_18,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_18) ).

cnf(i_0_2,negated_conjecture,
    l1_vectsp_2(esk2_0,esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_2) ).

cnf(i_0_3,negated_conjecture,
    v5_vectsp_2(esk2_0,esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_3) ).

cnf(i_0_32,plain,
    m1_subset_1(k1_subset_1(X1),k1_zfmisc_1(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_32) ).

cnf(i_0_1,negated_conjecture,
    ~ v1_rmod_5(k1_subset_1(u1_struct_0(esk2_0)),esk1_0,esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_1) ).

cnf(i_0_21,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_rmod_5(X3,X2,X1)
    | k2_rmod_4(X2,X1,esk3_3(X2,X1,X3)) != k1_xboole_0
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_21) ).

cnf(i_0_115,plain,
    ( X1 = k1_xboole_0
    | ~ r1_tarski(X1,k1_xboole_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-punxzl4g/lgb.p',i_0_115) ).

cnf(c_0_145,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_tarski(k2_rmod_4(X2,X1,X3),X4)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ m1_rmod_4(X3,X2,X1)
    | ~ m2_rmod_4(X3,X2,X1,X4)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_27 ).

cnf(c_0_146,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(X3,X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ m2_rmod_4(X3,X2,X1,X4)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_60 ).

cnf(c_0_147,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_rmod_5(X3,X2,X1)
    | m2_rmod_4(esk3_3(X2,X1,X3),X2,X1,X3)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_23 ).

cnf(c_0_148,negated_conjecture,
    v4_rlvect_1(esk2_0),
    i_0_6 ).

cnf(c_0_149,negated_conjecture,
    v6_rlvect_1(esk2_0),
    i_0_4 ).

cnf(c_0_150,negated_conjecture,
    v5_rlvect_1(esk2_0),
    i_0_5 ).

cnf(c_0_151,negated_conjecture,
    v3_rlvect_1(esk2_0),
    i_0_7 ).

cnf(c_0_152,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    i_0_8 ).

cnf(c_0_153,plain,
    ( X1 = k1_xboole_0
    | ~ v1_xboole_0(X1) ),
    i_0_118 ).

cnf(c_0_154,plain,
    v1_xboole_0(k1_subset_1(X1)),
    i_0_33 ).

cnf(c_0_155,plain,
    ( r1_tarski(k2_rmod_4(X1,X2,X3),X4)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m2_rmod_4(X3,X1,X2,X4)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1) ),
    inference(csr,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_156,negated_conjecture,
    v6_rlvect_1(esk1_0),
    i_0_14 ).

cnf(c_0_157,negated_conjecture,
    l3_vectsp_1(esk1_0),
    i_0_9 ).

cnf(c_0_158,negated_conjecture,
    v8_vectsp_1(esk1_0),
    i_0_10 ).

cnf(c_0_159,negated_conjecture,
    v7_vectsp_1(esk1_0),
    i_0_11 ).

cnf(c_0_160,negated_conjecture,
    v6_vectsp_1(esk1_0),
    i_0_12 ).

cnf(c_0_161,negated_conjecture,
    v4_group_1(esk1_0),
    i_0_13 ).

cnf(c_0_162,negated_conjecture,
    v5_rlvect_1(esk1_0),
    i_0_15 ).

cnf(c_0_163,negated_conjecture,
    v4_rlvect_1(esk1_0),
    i_0_16 ).

cnf(c_0_164,negated_conjecture,
    v3_rlvect_1(esk1_0),
    i_0_17 ).

cnf(c_0_165,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    i_0_18 ).

cnf(c_0_166,negated_conjecture,
    ( m2_rmod_4(esk3_3(X1,esk2_0,X2),X1,esk2_0,X2)
    | v3_struct_0(X1)
    | v1_rmod_5(X2,X1,esk2_0)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(esk2_0)))
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(esk2_0,X1)
    | ~ v5_vectsp_2(esk2_0,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]),c_0_150]),c_0_151])]),c_0_152]) ).

cnf(c_0_167,negated_conjecture,
    l1_vectsp_2(esk2_0,esk1_0),
    i_0_2 ).

cnf(c_0_168,negated_conjecture,
    v5_vectsp_2(esk2_0,esk1_0),
    i_0_3 ).

cnf(c_0_169,plain,
    m1_subset_1(k1_subset_1(X1),k1_zfmisc_1(X1)),
    i_0_32 ).

cnf(c_0_170,plain,
    k1_subset_1(X1) = k1_xboole_0,
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_171,negated_conjecture,
    ~ v1_rmod_5(k1_subset_1(u1_struct_0(esk2_0)),esk1_0,esk2_0),
    i_0_1 ).

cnf(c_0_172,negated_conjecture,
    ( r1_tarski(k2_rmod_4(esk1_0,X1,X2),X3)
    | v3_struct_0(X1)
    | ~ m2_rmod_4(X2,esk1_0,X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X1,esk1_0)
    | ~ v5_vectsp_2(X1,esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[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(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]),c_0_158]),c_0_159]),c_0_160]),c_0_161]),c_0_162]),c_0_163]),c_0_164])]),c_0_165]) ).

cnf(c_0_173,negated_conjecture,
    ( m2_rmod_4(esk3_3(esk1_0,esk2_0,X1),esk1_0,esk2_0,X1)
    | v1_rmod_5(X1,esk1_0,esk2_0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk2_0))) ),
    inference(sr,[status(thm)],[inference(cn,[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(spm,[status(thm)],[c_0_166,c_0_163]),c_0_157]),c_0_158]),c_0_159]),c_0_160]),c_0_161]),c_0_156]),c_0_162]),c_0_164]),c_0_167]),c_0_168])]),c_0_165]) ).

cnf(c_0_174,plain,
    m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
    inference(rw,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_175,negated_conjecture,
    ~ v1_rmod_5(k1_xboole_0,esk1_0,esk2_0),
    inference(rw,[status(thm)],[c_0_171,c_0_170]) ).

cnf(c_0_176,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_rmod_5(X3,X2,X1)
    | k2_rmod_4(X2,X1,esk3_3(X2,X1,X3)) != k1_xboole_0
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_21 ).

cnf(c_0_177,negated_conjecture,
    ( r1_tarski(k2_rmod_4(esk1_0,esk2_0,X1),X2)
    | ~ m2_rmod_4(X1,esk1_0,esk2_0,X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(esk2_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_151]),c_0_149]),c_0_150]),c_0_148]),c_0_167]),c_0_168])]),c_0_152]) ).

cnf(c_0_178,plain,
    m2_rmod_4(esk3_3(esk1_0,esk2_0,k1_xboole_0),esk1_0,esk2_0,k1_xboole_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]) ).

cnf(c_0_179,negated_conjecture,
    ( v3_struct_0(X1)
    | v1_rmod_5(X2,esk1_0,X1)
    | k2_rmod_4(esk1_0,X1,esk3_3(esk1_0,X1,X2)) != k1_xboole_0
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X1,esk1_0)
    | ~ v5_vectsp_2(X1,esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[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(spm,[status(thm)],[c_0_176,c_0_162]),c_0_157]),c_0_158]),c_0_159]),c_0_160]),c_0_161]),c_0_156]),c_0_163]),c_0_164])]),c_0_165]) ).

cnf(c_0_180,plain,
    ( X1 = k1_xboole_0
    | ~ r1_tarski(X1,k1_xboole_0) ),
    i_0_115 ).

cnf(c_0_181,negated_conjecture,
    r1_tarski(k2_rmod_4(esk1_0,esk2_0,esk3_3(esk1_0,esk2_0,k1_xboole_0)),k1_xboole_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_174])]) ).

cnf(c_0_182,negated_conjecture,
    ( v1_rmod_5(X1,esk1_0,esk2_0)
    | k2_rmod_4(esk1_0,esk2_0,esk3_3(esk1_0,esk2_0,X1)) != k1_xboole_0
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk2_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_167]),c_0_149]),c_0_150]),c_0_148]),c_0_151]),c_0_168])]),c_0_152]) ).

cnf(c_0_183,plain,
    k2_rmod_4(esk1_0,esk2_0,esk3_3(esk1_0,esk2_0,k1_xboole_0)) = k1_xboole_0,
    inference(spm,[status(thm)],[c_0_180,c_0_181]) ).

cnf(c_0_184,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_174])]),c_0_175]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG215+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % 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 : Thu Jun  9 07:15:39 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected complete mode:
% 8.12/2.54  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.12/2.54  # No SInE strategy applied
% 8.12/2.54  # Trying AutoSched0 for 150 seconds
% 8.12/2.54  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S05EI
% 8.12/2.54  # and selection function SelectDivPreferIntoLits.
% 8.12/2.54  #
% 8.12/2.54  # Preprocessing time       : 0.025 s
% 8.12/2.54  # Presaturation interreduction done
% 8.12/2.54  
% 8.12/2.54  # Proof found!
% 8.12/2.54  # SZS status Theorem
% 8.12/2.54  # SZS output start CNFRefutation
% See solution above
% 8.12/2.54  # Training examples: 0 positive, 0 negative
% 8.12/2.54  
% 8.12/2.54  # -------------------------------------------------
% 8.12/2.54  # User time                : 0.057 s
% 8.12/2.54  # System time              : 0.010 s
% 8.12/2.54  # Total time               : 0.067 s
% 8.12/2.54  # Maximum resident set size: 7124 pages
% 8.12/2.54  
%------------------------------------------------------------------------------