%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG219+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 15:33:05 EDT 2022
% Result : Theorem 8.33s 2.45s
% Output : CNFRefutation 8.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 34
% Syntax : Number of clauses : 84 ( 55 unt; 13 nHn; 84 RR)
% Number of literals : 318 ( 27 equ; 211 neg)
% Maximal clause size : 26 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-5 aty)
% Number of variables : 43 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_56,plain,
( l1_vectsp_1(X1)
| ~ l2_vectsp_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_56) ).
cnf(i_0_57,plain,
( l2_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_57) ).
cnf(i_0_37,plain,
( g1_vectsp_2(X1,u1_struct_0(X2),u1_rlvect_1(X2),u2_struct_0(X2),u1_vectsp_2(X1,X2)) = k2_rmod_2(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_37) ).
cnf(i_0_5,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_5) ).
cnf(i_0_3,negated_conjecture,
u1_struct_0(esk2_0) = esk3_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_3) ).
cnf(i_0_13,negated_conjecture,
l3_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_13) ).
cnf(i_0_16,negated_conjecture,
v8_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_16) ).
cnf(i_0_17,negated_conjecture,
v7_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_17) ).
cnf(i_0_18,negated_conjecture,
v6_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_18) ).
cnf(i_0_20,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_20) ).
cnf(i_0_8,negated_conjecture,
v6_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_8) ).
cnf(i_0_21,negated_conjecture,
v6_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_21) ).
cnf(i_0_9,negated_conjecture,
v5_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_9) ).
cnf(i_0_22,negated_conjecture,
v5_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_22) ).
cnf(i_0_10,negated_conjecture,
v4_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_10) ).
cnf(i_0_23,negated_conjecture,
v4_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_23) ).
cnf(i_0_11,negated_conjecture,
v3_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_11) ).
cnf(i_0_24,negated_conjecture,
v3_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_24) ).
cnf(i_0_6,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_6) ).
cnf(i_0_12,negated_conjecture,
~ v3_struct_0(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_12) ).
cnf(i_0_25,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_25) ).
cnf(i_0_26,plain,
( g1_vectsp_2(X1,u1_struct_0(X2),u1_rlvect_1(X2),u2_struct_0(X2),u1_vectsp_2(X1,X2)) = X2
| ~ l1_struct_0(X1)
| ~ v3_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_26) ).
cnf(i_0_142,plain,
( k2_group_1(X1) = k1_rlvect_1(X1)
| k1_rmod_5(X1,X2,X3) = X4
| v3_struct_0(X2)
| v3_struct_0(X1)
| v10_vectsp_1(X1)
| X3 != u1_struct_0(X4)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1)
| ~ v3_vectsp_2(X4,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m1_rmod_2(X4,X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_142) ).
cnf(i_0_30,plain,
( v3_struct_0(X1)
| v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l1_vectsp_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_30) ).
cnf(i_0_46,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_rmod_2(k2_rmod_2(X2,X1),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) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_46) ).
cnf(i_0_7,negated_conjecture,
v3_vectsp_2(esk2_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_7) ).
cnf(i_0_4,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_4) ).
cnf(i_0_54,plain,
( l1_struct_0(X1)
| ~ l2_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_54) ).
cnf(i_0_55,plain,
( l2_struct_0(X1)
| ~ l2_vectsp_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_55) ).
cnf(i_0_14,negated_conjecture,
v2_vectsp_2(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_14) ).
cnf(i_0_19,negated_conjecture,
v7_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_19) ).
cnf(i_0_1,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,esk3_0) != esk2_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_1) ).
cnf(i_0_2,negated_conjecture,
k2_group_1(esk1_0) != k1_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_2) ).
cnf(i_0_15,negated_conjecture,
~ v10_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsdfquvj/lgb.p',i_0_15) ).
cnf(c_0_177,plain,
( l1_vectsp_1(X1)
| ~ l2_vectsp_1(X1) ),
i_0_56 ).
cnf(c_0_178,plain,
( l2_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
i_0_57 ).
cnf(c_0_179,plain,
( g1_vectsp_2(X1,u1_struct_0(X2),u1_rlvect_1(X2),u2_struct_0(X2),u1_vectsp_2(X1,X2)) = k2_rmod_2(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1) ),
i_0_37 ).
cnf(c_0_180,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
i_0_5 ).
cnf(c_0_181,negated_conjecture,
u1_struct_0(esk2_0) = esk3_0,
i_0_3 ).
cnf(c_0_182,negated_conjecture,
l3_vectsp_1(esk1_0),
i_0_13 ).
cnf(c_0_183,negated_conjecture,
v8_vectsp_1(esk1_0),
i_0_16 ).
cnf(c_0_184,negated_conjecture,
v7_vectsp_1(esk1_0),
i_0_17 ).
cnf(c_0_185,negated_conjecture,
v6_vectsp_1(esk1_0),
i_0_18 ).
cnf(c_0_186,negated_conjecture,
v4_group_1(esk1_0),
i_0_20 ).
cnf(c_0_187,negated_conjecture,
v6_rlvect_1(esk2_0),
i_0_8 ).
cnf(c_0_188,negated_conjecture,
v6_rlvect_1(esk1_0),
i_0_21 ).
cnf(c_0_189,negated_conjecture,
v5_rlvect_1(esk2_0),
i_0_9 ).
cnf(c_0_190,negated_conjecture,
v5_rlvect_1(esk1_0),
i_0_22 ).
cnf(c_0_191,negated_conjecture,
v4_rlvect_1(esk2_0),
i_0_10 ).
cnf(c_0_192,negated_conjecture,
v4_rlvect_1(esk1_0),
i_0_23 ).
cnf(c_0_193,negated_conjecture,
v3_rlvect_1(esk2_0),
i_0_11 ).
cnf(c_0_194,negated_conjecture,
v3_rlvect_1(esk1_0),
i_0_24 ).
cnf(c_0_195,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
i_0_6 ).
cnf(c_0_196,negated_conjecture,
~ v3_struct_0(esk2_0),
i_0_12 ).
cnf(c_0_197,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_25 ).
cnf(c_0_198,plain,
( g1_vectsp_2(X1,u1_struct_0(X2),u1_rlvect_1(X2),u2_struct_0(X2),u1_vectsp_2(X1,X2)) = X2
| ~ l1_struct_0(X1)
| ~ v3_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1) ),
i_0_26 ).
cnf(c_0_199,plain,
( k2_group_1(X1) = k1_rlvect_1(X1)
| k1_rmod_5(X1,X2,X3) = X4
| v3_struct_0(X2)
| v3_struct_0(X1)
| v10_vectsp_1(X1)
| X3 != u1_struct_0(X4)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1)
| ~ v3_vectsp_2(X4,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m1_rmod_2(X4,X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
i_0_142 ).
cnf(c_0_200,plain,
( v3_struct_0(X1)
| v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l1_vectsp_1(X1) ),
i_0_30 ).
cnf(c_0_201,plain,
( l1_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_202,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_rmod_2(k2_rmod_2(X2,X1),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) ),
i_0_46 ).
cnf(c_0_203,negated_conjecture,
g1_vectsp_2(esk1_0,esk3_0,u1_rlvect_1(esk2_0),u2_struct_0(esk2_0),u1_vectsp_2(esk1_0,esk2_0)) = k2_rmod_2(esk1_0,esk2_0),
inference(sr,[status(thm)],[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(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_180]),c_0_181]),c_0_182]),c_0_183]),c_0_184]),c_0_185]),c_0_186]),c_0_187]),c_0_188]),c_0_189]),c_0_190]),c_0_191]),c_0_192]),c_0_193]),c_0_194]),c_0_195])]),c_0_196]),c_0_197]) ).
cnf(c_0_204,negated_conjecture,
( g1_vectsp_2(X1,esk3_0,u1_rlvect_1(esk2_0),u2_struct_0(esk2_0),u1_vectsp_2(X1,esk2_0)) = esk2_0
| ~ l1_struct_0(X1)
| ~ l1_vectsp_2(esk2_0,X1)
| ~ v3_vectsp_2(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_198,c_0_181]) ).
cnf(c_0_205,negated_conjecture,
v3_vectsp_2(esk2_0,esk1_0),
i_0_7 ).
cnf(c_0_206,plain,
( k1_rmod_5(X1,X2,u1_struct_0(X3)) = X3
| k2_group_1(X1) = k1_rlvect_1(X1)
| v10_vectsp_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| ~ v2_vectsp_2(X1)
| ~ v7_group_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v3_vectsp_2(X3,X1)
| ~ m1_subset_1(u1_struct_0(X3),k1_zfmisc_1(u1_struct_0(X2))) ),
inference(er,[status(thm)],[c_0_199]) ).
cnf(c_0_207,plain,
( v6_vectsp_1(X1)
| v3_struct_0(X1)
| ~ v7_group_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_208,negated_conjecture,
m1_rmod_2(k2_rmod_2(esk1_0,esk2_0),esk1_0,esk2_0),
inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_180]),c_0_182]),c_0_183]),c_0_184]),c_0_185]),c_0_186]),c_0_188]),c_0_187]),c_0_190]),c_0_189]),c_0_192]),c_0_191]),c_0_194]),c_0_193]),c_0_195])]),c_0_197]),c_0_196]) ).
cnf(c_0_209,negated_conjecture,
( k2_rmod_2(esk1_0,esk2_0) = esk2_0
| ~ l1_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_180]),c_0_205])]) ).
cnf(c_0_210,plain,
( k1_rmod_5(X1,X2,u1_struct_0(X3)) = X3
| k2_group_1(X1) = k1_rlvect_1(X1)
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m1_rmod_2(X3,X1,X2)
| ~ v2_vectsp_2(X1)
| ~ v7_group_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v3_vectsp_2(X3,X1)
| ~ m1_subset_1(u1_struct_0(X3),k1_zfmisc_1(u1_struct_0(X2))) ),
inference(csr,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_211,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
i_0_4 ).
cnf(c_0_212,negated_conjecture,
( m1_rmod_2(esk2_0,esk1_0,esk2_0)
| ~ l1_struct_0(esk1_0) ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_213,plain,
( l1_struct_0(X1)
| ~ l2_struct_0(X1) ),
i_0_54 ).
cnf(c_0_214,plain,
( l2_struct_0(X1)
| ~ l2_vectsp_1(X1) ),
i_0_55 ).
cnf(c_0_215,negated_conjecture,
( k1_rmod_5(X1,esk2_0,u1_struct_0(X2)) = X2
| k2_group_1(X1) = k1_rlvect_1(X1)
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| ~ m1_rmod_2(X2,X1,esk2_0)
| ~ v2_vectsp_2(X1)
| ~ v7_group_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_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)
| ~ v3_vectsp_2(X2,X1)
| ~ m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(esk3_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_210,c_0_181]),c_0_187]),c_0_189]),c_0_191]),c_0_193])]),c_0_196]) ).
cnf(c_0_216,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(esk3_0)),
inference(rw,[status(thm)],[c_0_211,c_0_181]) ).
cnf(c_0_217,plain,
( m1_rmod_2(esk2_0,esk1_0,esk2_0)
| ~ l2_struct_0(esk1_0) ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_218,plain,
( l2_struct_0(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_214,c_0_178]) ).
cnf(c_0_219,negated_conjecture,
( k1_rmod_5(X1,esk2_0,esk3_0) = esk2_0
| k2_group_1(X1) = k1_rlvect_1(X1)
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| ~ m1_rmod_2(esk2_0,X1,esk2_0)
| ~ v2_vectsp_2(X1)
| ~ v7_group_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_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)
| ~ v3_vectsp_2(esk2_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_181]),c_0_216])]) ).
cnf(c_0_220,plain,
m1_rmod_2(esk2_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_182])]) ).
cnf(c_0_221,negated_conjecture,
v2_vectsp_2(esk1_0),
i_0_14 ).
cnf(c_0_222,negated_conjecture,
v7_group_1(esk1_0),
i_0_19 ).
cnf(c_0_223,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,esk3_0) != esk2_0,
i_0_1 ).
cnf(c_0_224,negated_conjecture,
k2_group_1(esk1_0) != k1_rlvect_1(esk1_0),
i_0_2 ).
cnf(c_0_225,negated_conjecture,
~ v10_vectsp_1(esk1_0),
i_0_15 ).
cnf(c_0_226,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221]),c_0_222]),c_0_182]),c_0_183]),c_0_184]),c_0_186]),c_0_188]),c_0_190]),c_0_192]),c_0_194]),c_0_180]),c_0_195]),c_0_205])]),c_0_223]),c_0_224]),c_0_225]),c_0_197]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG219+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n020.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 01:59:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.33/2.45 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.33/2.45 # No SInE strategy applied
% 8.33/2.45 # Trying AutoSched0 for 150 seconds
% 8.33/2.45 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.33/2.45 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.33/2.45 #
% 8.33/2.45 # Preprocessing time : 0.029 s
% 8.33/2.45 # Presaturation interreduction done
% 8.33/2.45
% 8.33/2.45 # Proof found!
% 8.33/2.45 # SZS status Theorem
% 8.33/2.45 # SZS output start CNFRefutation
% See solution above
% 8.33/2.45 # Training examples: 0 positive, 0 negative
% 8.33/2.45
% 8.33/2.45 # -------------------------------------------------
% 8.33/2.45 # User time : 0.040 s
% 8.33/2.45 # System time : 0.013 s
% 8.33/2.45 # Total time : 0.053 s
% 8.33/2.45 # Maximum resident set size: 7120 pages
% 8.33/2.45
%------------------------------------------------------------------------------