TSTP Solution File: GRP625+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP625+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : Sat Jul 16 08:39:35 EDT 2022
% Result : Theorem 23.93s 4.58s
% Output : CNFRefutation 23.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 34
% Syntax : Number of clauses : 99 ( 26 unt; 50 nHn; 87 RR)
% Number of literals : 419 ( 61 equ; 273 neg)
% Maximal clause size : 15 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-4 aty)
% Number of variables : 183 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_106,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_106) ).
cnf(i_0_81,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_81) ).
cnf(i_0_50,plain,
( v3_struct_0(X1)
| r2_hidden(X2,X3)
| X3 != k4_autgroup(X1)
| k8_funct_2(u1_struct_0(X1),u1_struct_0(X1),X2,esk3_4(X1,X3,X2,X4)) != k2_group_3(X1,esk3_4(X1,X3,X2,X4),X4)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_fraenkel(u1_struct_0(X1),u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_50) ).
cnf(i_0_175,plain,
( v1_xboole_0(X1)
| m2_fraenkel(X2,X3,X1,X4)
| ~ m1_subset_1(X2,X4)
| ~ m1_fraenkel(X4,X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_175) ).
cnf(i_0_62,plain,
( v1_xboole_0(X1)
| m1_fraenkel(k1_fraenkel(X2,X1),X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_62) ).
cnf(i_0_185,plain,
( k1_funct_1(k6_partfun1(X1),X2) = X2
| ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_185) ).
cnf(i_0_174,plain,
( k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_174) ).
cnf(i_0_108,plain,
v1_funct_1(k6_partfun1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_108) ).
cnf(i_0_51,plain,
( v3_struct_0(X1)
| r2_hidden(X2,X3)
| m1_subset_1(esk3_4(X1,X3,X2,X4),u1_struct_0(X1))
| X3 != k4_autgroup(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_fraenkel(u1_struct_0(X1),u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_51) ).
cnf(i_0_178,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_178) ).
cnf(i_0_77,plain,
m2_relset_1(k6_partfun1(X1),X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_77) ).
cnf(i_0_57,plain,
( k1_group_1(X1,X2,X3) = X2
| v3_struct_0(X1)
| X3 != k2_group_1(X1)
| ~ l1_group_1(X1)
| ~ v2_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_57) ).
cnf(i_0_14,plain,
( v3_struct_0(X1)
| v2_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_14) ).
cnf(i_0_44,plain,
( k1_group_1(X1,k1_group_1(X1,k3_group_1(X1,X2),X3),X2) = k2_group_3(X1,X3,X2)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_44) ).
cnf(i_0_182,plain,
( k3_group_1(X1,k2_group_1(X1)) = k2_group_1(X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_182) ).
cnf(i_0_70,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_70) ).
cnf(i_0_190,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_190) ).
cnf(i_0_129,plain,
v1_xboole_0(esk19_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_129) ).
cnf(i_0_184,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_184) ).
cnf(i_0_12,plain,
( v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,X2,X3)
| ~ v1_partfun1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_12) ).
cnf(i_0_78,plain,
v1_partfun1(k6_partfun1(X1),X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_78) ).
cnf(i_0_56,plain,
( k1_group_1(X1,X2,X3) = X3
| v3_struct_0(X1)
| X2 != k2_group_1(X1)
| ~ l1_group_1(X1)
| ~ v2_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_56) ).
cnf(i_0_180,plain,
( r2_hidden(X1,k1_funct_2(X2,X3))
| X2 != k1_xboole_0
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_180) ).
cnf(i_0_181,plain,
( X1 = k1_xboole_0
| r2_hidden(X2,k1_funct_2(X3,X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X2,X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_181) ).
cnf(i_0_183,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_183) ).
cnf(i_0_192,plain,
( X1 = X2
| ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_192) ).
cnf(i_0_171,plain,
( k1_fraenkel(X1,X2) = k1_funct_2(X1,X2)
| v1_xboole_0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_171) ).
cnf(i_0_6,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_6) ).
cnf(i_0_2,negated_conjecture,
l1_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_2) ).
cnf(i_0_75,plain,
( v3_struct_0(X1)
| m1_fraenkel(k4_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/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_75) ).
cnf(i_0_1,negated_conjecture,
~ m2_fraenkel(k6_partfun1(u1_struct_0(esk1_0)),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_1) ).
cnf(i_0_3,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
v3_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v1_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lk9t96n9/input.p',i_0_5) ).
cnf(c_0_227,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_106 ).
cnf(c_0_228,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
i_0_81 ).
cnf(c_0_229,plain,
( v3_struct_0(X1)
| r2_hidden(X2,X3)
| X3 != k4_autgroup(X1)
| k8_funct_2(u1_struct_0(X1),u1_struct_0(X1),X2,esk3_4(X1,X3,X2,X4)) != k2_group_3(X1,esk3_4(X1,X3,X2,X4),X4)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_fraenkel(u1_struct_0(X1),u1_struct_0(X1))) ),
i_0_50 ).
cnf(c_0_230,plain,
( v1_xboole_0(X1)
| m2_fraenkel(X2,X3,X1,X4)
| ~ m1_subset_1(X2,X4)
| ~ m1_fraenkel(X4,X3,X1) ),
i_0_175 ).
cnf(c_0_231,plain,
( v1_xboole_0(X1)
| m1_fraenkel(k1_fraenkel(X2,X1),X2,X1) ),
i_0_62 ).
cnf(c_0_232,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_233,plain,
( k1_funct_1(k6_partfun1(X1),X2) = X2
| ~ r2_hidden(X2,X1) ),
i_0_185 ).
cnf(c_0_234,plain,
( k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2) ),
i_0_174 ).
cnf(c_0_235,plain,
v1_funct_1(k6_partfun1(X1)),
i_0_108 ).
cnf(c_0_236,plain,
( v3_struct_0(X1)
| r2_hidden(X2,X3)
| m1_subset_1(esk3_4(X1,X3,X2,X4),u1_struct_0(X1))
| X3 != k4_autgroup(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_fraenkel(u1_struct_0(X1),u1_struct_0(X1))) ),
i_0_51 ).
cnf(c_0_237,plain,
( r2_hidden(X1,X2)
| v3_struct_0(X3)
| k8_funct_2(u1_struct_0(X3),u1_struct_0(X3),X1,esk3_4(X3,X2,X1,X4)) != k2_group_3(X3,esk3_4(X3,X2,X1,X4),X4)
| X2 != k4_autgroup(X3)
| ~ m1_fraenkel(X2,u1_struct_0(X3),u1_struct_0(X3))
| ~ m1_subset_1(X1,k1_fraenkel(u1_struct_0(X3),u1_struct_0(X3)))
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ l1_group_1(X3)
| ~ v4_group_1(X3)
| ~ v3_group_1(X3)
| ~ v1_group_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231]),c_0_232]) ).
cnf(c_0_238,plain,
( k8_funct_2(X1,X2,k6_partfun1(X3),X4) = X4
| v1_xboole_0(X1)
| ~ r2_hidden(X4,X3)
| ~ v1_funct_2(k6_partfun1(X3),X1,X2)
| ~ m1_relset_1(k6_partfun1(X3),X1,X2)
| ~ m1_subset_1(X4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235])]) ).
cnf(c_0_239,plain,
( r2_hidden(X1,X2)
| v3_struct_0(X3)
| m1_subset_1(esk3_4(X3,X2,X1,X4),u1_struct_0(X3))
| X2 != k4_autgroup(X3)
| ~ m1_fraenkel(X2,u1_struct_0(X3),u1_struct_0(X3))
| ~ m1_subset_1(X1,k1_fraenkel(u1_struct_0(X3),u1_struct_0(X3)))
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ l1_group_1(X3)
| ~ v4_group_1(X3)
| ~ v3_group_1(X3)
| ~ v1_group_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_230]),c_0_231]),c_0_232]) ).
cnf(c_0_240,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_178 ).
cnf(c_0_241,plain,
m2_relset_1(k6_partfun1(X1),X1,X1),
i_0_77 ).
cnf(c_0_242,plain,
( k1_group_1(X1,X2,X3) = X2
| v3_struct_0(X1)
| X3 != k2_group_1(X1)
| ~ l1_group_1(X1)
| ~ v2_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_57 ).
cnf(c_0_243,plain,
( v3_struct_0(X1)
| v2_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
i_0_14 ).
cnf(c_0_244,plain,
( k1_group_1(X1,k1_group_1(X1,k3_group_1(X1,X2),X3),X2) = k2_group_3(X1,X3,X2)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
i_0_44 ).
cnf(c_0_245,plain,
( k3_group_1(X1,k2_group_1(X1)) = k2_group_1(X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
i_0_182 ).
cnf(c_0_246,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
i_0_70 ).
cnf(c_0_247,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
i_0_190 ).
cnf(c_0_248,plain,
v1_xboole_0(esk19_0),
i_0_129 ).
cnf(c_0_249,plain,
( r2_hidden(k6_partfun1(X1),X2)
| v3_struct_0(X3)
| k2_group_3(X3,esk3_4(X3,X2,k6_partfun1(X1),X4),X4) != esk3_4(X3,X2,k6_partfun1(X1),X4)
| X2 != k4_autgroup(X3)
| ~ r2_hidden(esk3_4(X3,X2,k6_partfun1(X1),X4),X1)
| ~ m1_fraenkel(X2,u1_struct_0(X3),u1_struct_0(X3))
| ~ v1_funct_2(k6_partfun1(X1),u1_struct_0(X3),u1_struct_0(X3))
| ~ m1_relset_1(k6_partfun1(X1),u1_struct_0(X3),u1_struct_0(X3))
| ~ m1_subset_1(k6_partfun1(X1),k1_fraenkel(u1_struct_0(X3),u1_struct_0(X3)))
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ l1_group_1(X3)
| ~ v4_group_1(X3)
| ~ v3_group_1(X3)
| ~ v1_group_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_239]),c_0_232]) ).
cnf(c_0_250,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_184 ).
cnf(c_0_251,plain,
( v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,X2,X3)
| ~ v1_partfun1(X1,X2,X3) ),
i_0_12 ).
cnf(c_0_252,plain,
v1_partfun1(k6_partfun1(X1),X1,X1),
i_0_78 ).
cnf(c_0_253,plain,
m1_relset_1(k6_partfun1(X1),X1,X1),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_254,plain,
( k1_group_1(X1,X2,X3) = X2
| v3_struct_0(X1)
| X3 != k2_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_255,plain,
( k1_group_1(X1,k1_group_1(X1,k2_group_1(X1),X2),k2_group_1(X1)) = k2_group_3(X1,X2,k2_group_1(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_246]) ).
cnf(c_0_256,plain,
( k1_group_1(X1,X2,X3) = X3
| v3_struct_0(X1)
| X2 != k2_group_1(X1)
| ~ l1_group_1(X1)
| ~ v2_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_56 ).
cnf(c_0_257,plain,
( r2_hidden(X1,k1_funct_2(X2,X3))
| X2 != k1_xboole_0
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_180 ).
cnf(c_0_258,plain,
k1_xboole_0 = esk19_0,
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_259,plain,
( X1 = k1_xboole_0
| r2_hidden(X2,k1_funct_2(X3,X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X2,X3,X1) ),
i_0_181 ).
cnf(c_0_260,plain,
( r2_hidden(k6_partfun1(X1),X2)
| v3_struct_0(X3)
| v1_xboole_0(X1)
| k2_group_3(X3,esk3_4(X3,X2,k6_partfun1(X1),X4),X4) != esk3_4(X3,X2,k6_partfun1(X1),X4)
| X2 != k4_autgroup(X3)
| ~ m1_fraenkel(X2,u1_struct_0(X3),u1_struct_0(X3))
| ~ v1_funct_2(k6_partfun1(X1),u1_struct_0(X3),u1_struct_0(X3))
| ~ m1_relset_1(k6_partfun1(X1),u1_struct_0(X3),u1_struct_0(X3))
| ~ m1_subset_1(k6_partfun1(X1),k1_fraenkel(u1_struct_0(X3),u1_struct_0(X3)))
| ~ m1_subset_1(esk3_4(X3,X2,k6_partfun1(X1),X4),X1)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ l1_group_1(X3)
| ~ v4_group_1(X3)
| ~ v3_group_1(X3)
| ~ v1_group_1(X3) ),
inference(spm,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_261,plain,
v1_funct_2(k6_partfun1(X1),X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_235])]),c_0_253])]) ).
cnf(c_0_262,plain,
( k2_group_3(X1,X2,k2_group_1(X1)) = k1_group_1(X1,k2_group_1(X1),X2)
| v3_struct_0(X1)
| ~ m1_subset_1(k1_group_1(X1,k2_group_1(X1),X2),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_246]) ).
cnf(c_0_263,plain,
( k1_group_1(X1,X2,X3) = X3
| v3_struct_0(X1)
| X2 != k2_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_256,c_0_243]) ).
cnf(c_0_264,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
i_0_183 ).
cnf(c_0_265,plain,
( r2_hidden(X1,k1_funct_2(X2,X3))
| X2 != esk19_0
| ~ m2_relset_1(X1,X2,X3)
| ~ v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1) ),
inference(rw,[status(thm)],[c_0_257,c_0_258]) ).
cnf(c_0_266,plain,
( X1 = esk19_0
| r2_hidden(X2,k1_funct_2(X3,X1))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ v1_funct_1(X2) ),
inference(rw,[status(thm)],[c_0_259,c_0_258]) ).
cnf(c_0_267,plain,
( X1 = X2
| ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1) ),
i_0_192 ).
cnf(c_0_268,plain,
( r2_hidden(k6_partfun1(u1_struct_0(X1)),X2)
| v3_struct_0(X1)
| k2_group_3(X1,esk3_4(X1,X2,k6_partfun1(u1_struct_0(X1)),X3),X3) != esk3_4(X1,X2,k6_partfun1(u1_struct_0(X1)),X3)
| X2 != k4_autgroup(X1)
| ~ m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m1_subset_1(k6_partfun1(u1_struct_0(X1)),k1_fraenkel(u1_struct_0(X1),u1_struct_0(X1)))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_239]),c_0_261]),c_0_253])]),c_0_232]) ).
cnf(c_0_269,plain,
( k2_group_3(X1,X2,k2_group_1(X1)) = X2
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_246]) ).
cnf(c_0_270,plain,
( m1_subset_1(X1,k1_funct_2(X2,X3))
| X2 != esk19_0
| ~ m2_relset_1(X1,X2,X3)
| ~ v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1) ),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_271,plain,
( k1_fraenkel(X1,X2) = k1_funct_2(X1,X2)
| v1_xboole_0(X2) ),
i_0_171 ).
cnf(c_0_272,plain,
( X1 = esk19_0
| m1_subset_1(X2,k1_funct_2(X3,X1))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ v1_funct_1(X2) ),
inference(spm,[status(thm)],[c_0_264,c_0_266]) ).
cnf(c_0_273,plain,
( X1 = esk19_0
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_267,c_0_248]) ).
cnf(c_0_274,plain,
( r2_hidden(k6_partfun1(u1_struct_0(X1)),X2)
| v3_struct_0(X1)
| X2 != k4_autgroup(X1)
| ~ m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m1_subset_1(k6_partfun1(u1_struct_0(X1)),k1_fraenkel(u1_struct_0(X1),u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_239]),c_0_246]) ).
cnf(c_0_275,plain,
( m1_subset_1(X1,k1_fraenkel(X2,X3))
| v1_xboole_0(X3)
| X2 != esk19_0
| ~ m2_relset_1(X1,X2,X3)
| ~ v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1) ),
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_276,plain,
( X1 = esk19_0
| m1_subset_1(X2,k1_fraenkel(X3,X1))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ v1_funct_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_271]),c_0_273]) ).
cnf(c_0_277,plain,
( r2_hidden(k6_partfun1(u1_struct_0(X1)),X2)
| v3_struct_0(X1)
| u1_struct_0(X1) != esk19_0
| X2 != k4_autgroup(X1)
| ~ m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_241]),c_0_261]),c_0_235])]),c_0_232]) ).
cnf(c_0_278,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_6 ).
cnf(c_0_279,negated_conjecture,
l1_group_1(esk1_0),
i_0_2 ).
cnf(c_0_280,plain,
( r2_hidden(k6_partfun1(u1_struct_0(X1)),X2)
| v3_struct_0(X1)
| X2 != k4_autgroup(X1)
| ~ m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_276]),c_0_241]),c_0_261]),c_0_235])]),c_0_277]) ).
cnf(c_0_281,plain,
( v3_struct_0(X1)
| m1_fraenkel(k4_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_75 ).
cnf(c_0_282,negated_conjecture,
~ m2_fraenkel(k6_partfun1(u1_struct_0(esk1_0)),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0)),
i_0_1 ).
cnf(c_0_283,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_232]),c_0_279])]) ).
cnf(c_0_284,plain,
( r2_hidden(k6_partfun1(u1_struct_0(X1)),k4_autgroup(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_285,negated_conjecture,
( ~ m1_fraenkel(k4_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(k6_partfun1(u1_struct_0(esk1_0)),k4_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_230]),c_0_283]) ).
cnf(c_0_286,plain,
( v3_struct_0(X1)
| m1_subset_1(k6_partfun1(u1_struct_0(X1)),k4_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_264,c_0_284]) ).
cnf(c_0_287,negated_conjecture,
v4_group_1(esk1_0),
i_0_3 ).
cnf(c_0_288,negated_conjecture,
v3_group_1(esk1_0),
i_0_4 ).
cnf(c_0_289,negated_conjecture,
v1_group_1(esk1_0),
i_0_5 ).
cnf(c_0_290,negated_conjecture,
~ m1_fraenkel(k4_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_279]),c_0_287]),c_0_288]),c_0_289])]),c_0_278]) ).
cnf(c_0_291,plain,
$false,
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_290,c_0_281]),c_0_279]),c_0_287]),c_0_288]),c_0_289])]),c_0_278]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP625+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 09:01:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 23.93/4.58 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 23.93/4.58 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 35; version: 991; iters: 150)
% 23.93/4.58 # Preprocessing time : 1.818 s
% 23.93/4.58
% 23.93/4.58 # Proof found!
% 23.93/4.58 # SZS status Theorem
% 23.93/4.58 # SZS output start CNFRefutation
% See solution above
% 23.93/4.58 # Training examples: 0 positive, 0 negative
% 23.93/4.58
% 23.93/4.58 # -------------------------------------------------
% 23.93/4.58 # User time : 1.738 s
% 23.93/4.58 # System time : 0.143 s
% 23.93/4.58 # Total time : 1.881 s
% 23.93/4.58 # ...preprocessing : 1.818 s
% 23.93/4.58 # ...main loop : 0.063 s
% 23.93/4.58 # Maximum resident set size: 177084 pages
% 23.93/4.58
%------------------------------------------------------------------------------