TSTP Solution File: GRP624+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GRP624+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 : Sat Jul 16 08:39:34 EDT 2022

% Result   : Theorem 7.78s 2.45s
% Output   : CNFRefutation 7.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   60 (  27 unt;  20 nHn;  60 RR)
%            Number of literals    :  191 (  13 equ; 116 neg)
%            Maximal clause size   :   12 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   1 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-6 aty)
%            Number of variables   :   79 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_38,plain,
    ( v3_struct_0(X1)
    | m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_38) ).

cnf(i_0_4,negated_conjecture,
    l1_group_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_4) ).

cnf(i_0_5,negated_conjecture,
    v4_group_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_5) ).

cnf(i_0_6,negated_conjecture,
    v3_group_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_6) ).

cnf(i_0_7,negated_conjecture,
    v1_group_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_7) ).

cnf(i_0_8,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_8) ).

cnf(i_0_81,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_81) ).

cnf(i_0_56,plain,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_56) ).

cnf(i_0_34,plain,
    ( k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),X2,X3,X4) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X4,X3)
    | v3_struct_0(X1)
    | X2 != k2_autgroup(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ v1_funct_1(X2)
    | ~ m2_fraenkel(X4,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
    | ~ m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
    | ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
    | ~ m2_relset_1(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_34) ).

cnf(i_0_46,plain,
    ( v3_struct_0(X1)
    | v1_funct_1(k2_autgroup(X1))
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_46) ).

cnf(i_0_45,plain,
    ( v3_struct_0(X1)
    | v1_funct_2(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_45) ).

cnf(i_0_44,plain,
    ( v3_struct_0(X1)
    | m2_relset_1(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_44) ).

cnf(i_0_130,plain,
    ( v3_struct_0(X1)
    | m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_130) ).

cnf(i_0_2,negated_conjecture,
    m2_fraenkel(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_2) ).

cnf(i_0_123,plain,
    ( k2_binop_1(X1,X2,X3,X4,X5,X6) = k1_binop_1(X4,X5,X6)
    | v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | ~ v1_funct_1(X4)
    | ~ m1_subset_1(X6,X2)
    | ~ m1_subset_1(X5,X1)
    | ~ m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
    | ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_123) ).

cnf(i_0_128,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_128) ).

cnf(i_0_59,plain,
    ( ~ v1_xboole_0(X1)
    | ~ m1_fraenkel(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_59) ).

cnf(i_0_126,plain,
    ( v1_xboole_0(X1)
    | m1_subset_1(X2,X3)
    | ~ m1_fraenkel(X3,X4,X1)
    | ~ m2_fraenkel(X2,X4,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_126) ).

cnf(i_0_125,plain,
    ( v1_xboole_0(X1)
    | m2_fraenkel(X2,X3,X1,X4)
    | ~ m1_subset_1(X2,X4)
    | ~ m1_fraenkel(X4,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_125) ).

cnf(i_0_3,negated_conjecture,
    m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_3) ).

cnf(i_0_1,negated_conjecture,
    k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk3_0,esk2_0) != k1_binop_1(k2_autgroup(esk1_0),esk2_0,esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a46fevxz/lgb.p',i_0_1) ).

cnf(c_0_152,plain,
    ( v3_struct_0(X1)
    | m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1) ),
    i_0_38 ).

cnf(c_0_153,negated_conjecture,
    l1_group_1(esk1_0),
    i_0_4 ).

cnf(c_0_154,negated_conjecture,
    v4_group_1(esk1_0),
    i_0_5 ).

cnf(c_0_155,negated_conjecture,
    v3_group_1(esk1_0),
    i_0_6 ).

cnf(c_0_156,negated_conjecture,
    v1_group_1(esk1_0),
    i_0_7 ).

cnf(c_0_157,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    i_0_8 ).

cnf(c_0_158,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    i_0_81 ).

cnf(c_0_159,plain,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    i_0_56 ).

cnf(c_0_160,plain,
    ( k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),X2,X3,X4) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X4,X3)
    | v3_struct_0(X1)
    | X2 != k2_autgroup(X1)
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ v1_funct_1(X2)
    | ~ m2_fraenkel(X4,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
    | ~ m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
    | ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
    | ~ m2_relset_1(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1)) ),
    i_0_34 ).

cnf(c_0_161,plain,
    ( v3_struct_0(X1)
    | v1_funct_1(k2_autgroup(X1))
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1) ),
    i_0_46 ).

cnf(c_0_162,plain,
    ( v3_struct_0(X1)
    | v1_funct_2(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1) ),
    i_0_45 ).

cnf(c_0_163,plain,
    ( v3_struct_0(X1)
    | m2_relset_1(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1) ),
    i_0_44 ).

cnf(c_0_164,plain,
    ( v3_struct_0(X1)
    | m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
    | ~ v1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
    i_0_130 ).

cnf(c_0_165,negated_conjecture,
    m2_fraenkel(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0)),
    i_0_2 ).

cnf(c_0_166,plain,
    ( k2_binop_1(X1,X2,X3,X4,X5,X6) = k1_binop_1(X4,X5,X6)
    | v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | ~ v1_funct_1(X4)
    | ~ m1_subset_1(X6,X2)
    | ~ m1_subset_1(X5,X1)
    | ~ m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
    | ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3) ),
    i_0_123 ).

cnf(c_0_167,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_128 ).

cnf(c_0_168,plain,
    ( ~ v1_xboole_0(X1)
    | ~ m1_fraenkel(X1,X2,X3) ),
    i_0_59 ).

cnf(c_0_169,negated_conjecture,
    m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
    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_152,c_0_153]),c_0_154]),c_0_155]),c_0_156])]),c_0_157]) ).

cnf(c_0_170,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1))
    | ~ l1_group_1(X1) ),
    inference(spm,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_171,plain,
    ( k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X2,X3) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X3,X2)
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v1_group_1(X1)
    | ~ m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
    | ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_160]),c_0_161]),c_0_162]),c_0_163]) ).

cnf(c_0_172,negated_conjecture,
    m2_fraenkel(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(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(spm,[status(thm)],[c_0_164,c_0_165]),c_0_153]),c_0_154]),c_0_155]),c_0_156])]),c_0_157]) ).

cnf(c_0_173,plain,
    ( k2_binop_1(X1,X2,X3,X4,X5,X6) = k1_binop_1(X4,X5,X6)
    | v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | ~ m1_subset_1(X6,X2)
    | ~ m1_subset_1(X5,X1)
    | ~ m2_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
    | ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
    | ~ v1_funct_1(X4) ),
    inference(spm,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_174,negated_conjecture,
    m2_relset_1(k2_autgroup(esk1_0),k2_zfmisc_1(k1_autgroup(esk1_0),k1_autgroup(esk1_0)),k1_autgroup(esk1_0)),
    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_163,c_0_153]),c_0_154]),c_0_155]),c_0_156])]),c_0_157]) ).

cnf(c_0_175,negated_conjecture,
    v1_funct_2(k2_autgroup(esk1_0),k2_zfmisc_1(k1_autgroup(esk1_0),k1_autgroup(esk1_0)),k1_autgroup(esk1_0)),
    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_162,c_0_153]),c_0_154]),c_0_155]),c_0_156])]),c_0_157]) ).

cnf(c_0_176,negated_conjecture,
    v1_funct_1(k2_autgroup(esk1_0)),
    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_161,c_0_153]),c_0_154]),c_0_155]),c_0_156])]),c_0_157]) ).

cnf(c_0_177,plain,
    ~ v1_xboole_0(k1_autgroup(esk1_0)),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_178,plain,
    ( v1_xboole_0(X1)
    | m1_subset_1(X2,X3)
    | ~ m1_fraenkel(X3,X4,X1)
    | ~ m2_fraenkel(X2,X4,X1,X3) ),
    i_0_126 ).

cnf(c_0_179,negated_conjecture,
    ~ v1_xboole_0(u1_struct_0(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_170]),c_0_153])]) ).

cnf(c_0_180,plain,
    ( v1_xboole_0(X1)
    | m2_fraenkel(X2,X3,X1,X4)
    | ~ m1_subset_1(X2,X4)
    | ~ m1_fraenkel(X4,X3,X1) ),
    i_0_125 ).

cnf(c_0_181,negated_conjecture,
    m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0)),
    i_0_3 ).

cnf(c_0_182,negated_conjecture,
    ( k2_binop_1(k1_autgroup(esk1_0),k1_autgroup(esk1_0),k1_autgroup(esk1_0),k2_autgroup(esk1_0),X1,esk3_0) = k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk3_0,X1)
    | ~ m2_fraenkel(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(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(spm,[status(thm)],[c_0_171,c_0_172]),c_0_153]),c_0_154]),c_0_155]),c_0_156])]),c_0_157]) ).

cnf(c_0_183,negated_conjecture,
    ( k2_binop_1(k1_autgroup(esk1_0),k1_autgroup(esk1_0),k1_autgroup(esk1_0),k2_autgroup(esk1_0),X1,X2) = k1_binop_1(k2_autgroup(esk1_0),X1,X2)
    | ~ m1_subset_1(X2,k1_autgroup(esk1_0))
    | ~ m1_subset_1(X1,k1_autgroup(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]),c_0_176])]),c_0_177]) ).

cnf(c_0_184,plain,
    m1_subset_1(esk3_0,k1_autgroup(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_172]),c_0_169])]),c_0_179]) ).

cnf(c_0_185,negated_conjecture,
    ( m2_fraenkel(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0))
    | ~ m1_subset_1(X1,k1_autgroup(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_169]),c_0_179]) ).

cnf(c_0_186,negated_conjecture,
    m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(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(spm,[status(thm)],[c_0_164,c_0_181]),c_0_153]),c_0_154]),c_0_155]),c_0_156])]),c_0_157]) ).

cnf(c_0_187,negated_conjecture,
    k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk3_0,esk2_0) != k1_binop_1(k2_autgroup(esk1_0),esk2_0,esk3_0),
    i_0_1 ).

cnf(c_0_188,negated_conjecture,
    ( k1_binop_1(k2_autgroup(esk1_0),X1,esk3_0) = k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk3_0,X1)
    | ~ m1_subset_1(X1,k1_autgroup(esk1_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184])]),c_0_185]) ).

cnf(c_0_189,plain,
    m1_subset_1(esk2_0,k1_autgroup(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_186]),c_0_169])]),c_0_179]) ).

cnf(c_0_190,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GRP624+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n007.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Tue Jun 14 00:00:56 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected complete mode:
% 7.78/2.45  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.78/2.45  # No SInE strategy applied
% 7.78/2.45  # Trying AutoSched0 for 150 seconds
% 7.78/2.45  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.78/2.45  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.78/2.45  #
% 7.78/2.45  # Preprocessing time       : 0.014 s
% 7.78/2.45  # Presaturation interreduction done
% 7.78/2.45  
% 7.78/2.45  # Proof found!
% 7.78/2.45  # SZS status Theorem
% 7.78/2.45  # SZS output start CNFRefutation
% See solution above
% 7.78/2.45  # Training examples: 0 positive, 0 negative
% 7.78/2.45  
% 7.78/2.45  # -------------------------------------------------
% 7.78/2.45  # User time                : 0.044 s
% 7.78/2.45  # System time              : 0.002 s
% 7.78/2.45  # Total time               : 0.046 s
% 7.78/2.45  # Maximum resident set size: 7120 pages
% 7.78/2.45  
%------------------------------------------------------------------------------