%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG218+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.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 15:33:04 EDT 2022
% Result : Theorem 9.02s 2.56s
% Output : CNFRefutation 9.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 43
% Syntax : Number of clauses : 117 ( 54 unt; 24 nHn; 107 RR)
% Number of literals : 323 ( 32 equ; 183 neg)
% Maximal clause size : 23 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 92 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_66,plain,
( l1_vectsp_1(X1)
| ~ l2_vectsp_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_66) ).
cnf(i_0_67,plain,
( l2_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_67) ).
cnf(i_0_29,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-qu9btayt/lgb.p',i_0_29) ).
cnf(i_0_157,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| r1_rlvect_1(k1_rmod_5(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)
| ~ v7_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ r2_hidden(X4,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_157) ).
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-qu9btayt/lgb.p',i_0_4) ).
cnf(i_0_7,negated_conjecture,
v6_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_7) ).
cnf(i_0_8,negated_conjecture,
v5_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_8) ).
cnf(i_0_9,negated_conjecture,
v4_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_9) ).
cnf(i_0_10,negated_conjecture,
v3_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_10) ).
cnf(i_0_11,negated_conjecture,
~ v3_struct_0(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_11) ).
cnf(i_0_44,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk5_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_44) ).
cnf(i_0_42,plain,
( X1 = X2
| X3 != k1_tarski(X2)
| ~ r2_hidden(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_42) ).
cnf(i_0_163,plain,
( X1 = k1_rlvect_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v4_group_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ l3_vectsp_1(X3)
| ~ v5_vectsp_2(X2,X3)
| ~ l1_vectsp_2(X2,X3)
| ~ r1_rlvect_1(k1_rmod_2(X3,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_163) ).
cnf(i_0_3,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,esk3_0) = k1_rmod_2(esk1_0,esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_3) ).
cnf(i_0_12,negated_conjecture,
l3_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_12) ).
cnf(i_0_15,negated_conjecture,
v8_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_15) ).
cnf(i_0_16,negated_conjecture,
v7_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_16) ).
cnf(i_0_17,negated_conjecture,
v6_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_17) ).
cnf(i_0_19,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_19) ).
cnf(i_0_20,negated_conjecture,
v6_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_20) ).
cnf(i_0_21,negated_conjecture,
v5_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_21) ).
cnf(i_0_22,negated_conjecture,
v4_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_22) ).
cnf(i_0_23,negated_conjecture,
v3_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_23) ).
cnf(i_0_5,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_6) ).
cnf(i_0_24,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_24) ).
cnf(i_0_13,negated_conjecture,
v2_vectsp_2(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_13) ).
cnf(i_0_18,negated_conjecture,
v7_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_18) ).
cnf(i_0_14,negated_conjecture,
~ v10_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_14) ).
cnf(i_0_63,plain,
( l1_rlvect_1(X1)
| ~ l1_struct_0(X2)
| ~ l1_vectsp_2(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_63) ).
cnf(i_0_159,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_159) ).
cnf(i_0_97,plain,
m1_subset_1(esk16_1(X1),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_97) ).
cnf(i_0_153,plain,
( k7_rlvect_2(X1,X2) = k1_tarski(X2)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_153) ).
cnf(i_0_48,plain,
( m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| ~ l2_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_48) ).
cnf(i_0_64,plain,
( l1_struct_0(X1)
| ~ l2_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_64) ).
cnf(i_0_60,plain,
( l2_struct_0(X1)
| ~ l1_rlvect_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_60) ).
cnf(i_0_43,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk5_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_43) ).
cnf(i_0_41,plain,
( r2_hidden(X1,X2)
| X1 != X3
| X2 != k1_tarski(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_41) ).
cnf(i_0_36,plain,
( X1 = X2
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_36) ).
cnf(i_0_1,negated_conjecture,
k7_rlvect_2(esk2_0,k1_rlvect_1(esk2_0)) != esk3_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_1) ).
cnf(i_0_68,plain,
( l1_rlvect_1(X1)
| ~ l3_vectsp_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_68) ).
cnf(i_0_166,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_166) ).
cnf(i_0_2,negated_conjecture,
esk3_0 != k1_xboole_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qu9btayt/lgb.p',i_0_2) ).
cnf(c_0_210,plain,
( l1_vectsp_1(X1)
| ~ l2_vectsp_1(X1) ),
i_0_66 ).
cnf(c_0_211,plain,
( l2_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
i_0_67 ).
cnf(c_0_212,plain,
( v3_struct_0(X1)
| v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l1_vectsp_1(X1) ),
i_0_29 ).
cnf(c_0_213,plain,
( l1_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_214,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| r1_rlvect_1(k1_rmod_5(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)
| ~ v7_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ r2_hidden(X4,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_157 ).
cnf(c_0_215,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
i_0_4 ).
cnf(c_0_216,negated_conjecture,
v6_rlvect_1(esk2_0),
i_0_7 ).
cnf(c_0_217,negated_conjecture,
v5_rlvect_1(esk2_0),
i_0_8 ).
cnf(c_0_218,negated_conjecture,
v4_rlvect_1(esk2_0),
i_0_9 ).
cnf(c_0_219,negated_conjecture,
v3_rlvect_1(esk2_0),
i_0_10 ).
cnf(c_0_220,negated_conjecture,
~ v3_struct_0(esk2_0),
i_0_11 ).
cnf(c_0_221,plain,
( v6_vectsp_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_group_1(X1) ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_222,negated_conjecture,
( r1_rlvect_1(k1_rmod_5(X1,esk2_0,esk3_0),X2)
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ r2_hidden(X2,esk3_0)
| ~ l1_vectsp_2(esk2_0,X1)
| ~ v5_vectsp_2(esk2_0,X1) ),
inference(csr,[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(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216]),c_0_217]),c_0_218]),c_0_219])]),c_0_220]),c_0_221]) ).
cnf(c_0_223,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk5_2(X1,X2),X1) ),
i_0_44 ).
cnf(c_0_224,plain,
( X1 = X2
| X3 != k1_tarski(X2)
| ~ r2_hidden(X1,X3) ),
i_0_42 ).
cnf(c_0_225,plain,
( X1 = k1_rlvect_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v4_group_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ l3_vectsp_1(X3)
| ~ v5_vectsp_2(X2,X3)
| ~ l1_vectsp_2(X2,X3)
| ~ r1_rlvect_1(k1_rmod_2(X3,X2),X1) ),
i_0_163 ).
cnf(c_0_226,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,esk3_0) = k1_rmod_2(esk1_0,esk2_0),
i_0_3 ).
cnf(c_0_227,negated_conjecture,
l3_vectsp_1(esk1_0),
i_0_12 ).
cnf(c_0_228,negated_conjecture,
v8_vectsp_1(esk1_0),
i_0_15 ).
cnf(c_0_229,negated_conjecture,
v7_vectsp_1(esk1_0),
i_0_16 ).
cnf(c_0_230,negated_conjecture,
v6_vectsp_1(esk1_0),
i_0_17 ).
cnf(c_0_231,negated_conjecture,
v4_group_1(esk1_0),
i_0_19 ).
cnf(c_0_232,negated_conjecture,
v6_rlvect_1(esk1_0),
i_0_20 ).
cnf(c_0_233,negated_conjecture,
v5_rlvect_1(esk1_0),
i_0_21 ).
cnf(c_0_234,negated_conjecture,
v4_rlvect_1(esk1_0),
i_0_22 ).
cnf(c_0_235,negated_conjecture,
v3_rlvect_1(esk1_0),
i_0_23 ).
cnf(c_0_236,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
i_0_5 ).
cnf(c_0_237,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
i_0_6 ).
cnf(c_0_238,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_24 ).
cnf(c_0_239,plain,
( r1_rlvect_1(k1_rmod_5(X1,esk2_0,esk3_0),esk5_2(esk3_0,X2))
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| r1_tarski(esk3_0,X2)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v7_group_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(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_240,negated_conjecture,
v2_vectsp_2(esk1_0),
i_0_13 ).
cnf(c_0_241,negated_conjecture,
v7_group_1(esk1_0),
i_0_18 ).
cnf(c_0_242,negated_conjecture,
~ v10_vectsp_1(esk1_0),
i_0_14 ).
cnf(c_0_243,plain,
( l1_rlvect_1(X1)
| ~ l1_struct_0(X2)
| ~ l1_vectsp_2(X1,X2) ),
i_0_63 ).
cnf(c_0_244,plain,
( X1 = X2
| ~ r2_hidden(X1,k1_tarski(X2)) ),
inference(er,[status(thm)],[c_0_224]) ).
cnf(c_0_245,negated_conjecture,
( X1 = k1_rlvect_1(esk2_0)
| ~ r1_rlvect_1(k1_rmod_5(esk1_0,esk2_0,esk3_0),X1) ),
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_225,c_0_226]),c_0_227]),c_0_228]),c_0_229]),c_0_230]),c_0_231]),c_0_232]),c_0_216]),c_0_233]),c_0_217]),c_0_234]),c_0_218]),c_0_235]),c_0_219]),c_0_236]),c_0_237])]),c_0_238]),c_0_220]) ).
cnf(c_0_246,negated_conjecture,
( r1_rlvect_1(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk5_2(esk3_0,X1))
| r1_tarski(esk3_0,X1) ),
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(spm,[status(thm)],[c_0_239,c_0_236]),c_0_227]),c_0_240]),c_0_228]),c_0_229]),c_0_241]),c_0_231]),c_0_232]),c_0_233]),c_0_234]),c_0_235]),c_0_237])]),c_0_242]),c_0_238]) ).
cnf(c_0_247,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_159 ).
cnf(c_0_248,plain,
m1_subset_1(esk16_1(X1),X1),
i_0_97 ).
cnf(c_0_249,plain,
( k7_rlvect_2(X1,X2) = k1_tarski(X2)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_153 ).
cnf(c_0_250,plain,
( m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| ~ l2_struct_0(X1) ),
i_0_48 ).
cnf(c_0_251,plain,
( l1_struct_0(X1)
| ~ l2_struct_0(X1) ),
i_0_64 ).
cnf(c_0_252,plain,
( l2_struct_0(X1)
| ~ l1_rlvect_1(X1) ),
i_0_60 ).
cnf(c_0_253,negated_conjecture,
( l1_rlvect_1(esk2_0)
| ~ l1_struct_0(esk1_0) ),
inference(spm,[status(thm)],[c_0_243,c_0_236]) ).
cnf(c_0_254,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk5_2(X1,X2),X2) ),
i_0_43 ).
cnf(c_0_255,plain,
( esk5_2(k1_tarski(X1),X2) = X1
| r1_tarski(k1_tarski(X1),X2) ),
inference(spm,[status(thm)],[c_0_244,c_0_223]) ).
cnf(c_0_256,negated_conjecture,
( esk5_2(esk3_0,X1) = k1_rlvect_1(esk2_0)
| r1_tarski(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_257,plain,
( r2_hidden(X1,X2)
| X1 != X3
| X2 != k1_tarski(X3) ),
i_0_41 ).
cnf(c_0_258,plain,
( v1_xboole_0(X1)
| r2_hidden(esk16_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_259,plain,
( k7_rlvect_2(X1,k1_rlvect_1(X1)) = k1_tarski(k1_rlvect_1(X1))
| v3_struct_0(X1)
| ~ l2_struct_0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_251]) ).
cnf(c_0_260,plain,
( l2_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0) ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_261,plain,
( X1 = X2
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X1,X2) ),
i_0_36 ).
cnf(c_0_262,plain,
( r1_tarski(k1_tarski(X1),X2)
| ~ r2_hidden(X1,X2) ),
inference(spm,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_263,plain,
( r1_tarski(esk3_0,X1)
| ~ r2_hidden(k1_rlvect_1(esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_254,c_0_256]) ).
cnf(c_0_264,plain,
r2_hidden(X1,k1_tarski(X1)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_257])]) ).
cnf(c_0_265,plain,
( r1_rlvect_1(k1_rmod_5(X1,esk2_0,esk3_0),esk16_1(esk3_0))
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(esk3_0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v7_group_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(spm,[status(thm)],[c_0_222,c_0_258]) ).
cnf(c_0_266,negated_conjecture,
k7_rlvect_2(esk2_0,k1_rlvect_1(esk2_0)) != esk3_0,
i_0_1 ).
cnf(c_0_267,plain,
( k7_rlvect_2(esk2_0,k1_rlvect_1(esk2_0)) = k1_tarski(k1_rlvect_1(esk2_0))
| ~ l1_struct_0(esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_220]) ).
cnf(c_0_268,plain,
( X1 = k1_tarski(X2)
| ~ r1_tarski(X1,k1_tarski(X2))
| ~ r2_hidden(X2,X1) ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_269,plain,
r1_tarski(esk3_0,k1_tarski(k1_rlvect_1(esk2_0))),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_270,negated_conjecture,
( r1_rlvect_1(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk16_1(esk3_0))
| v1_xboole_0(esk3_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(spm,[status(thm)],[c_0_265,c_0_236]),c_0_227]),c_0_240]),c_0_228]),c_0_229]),c_0_241]),c_0_231]),c_0_232]),c_0_233]),c_0_234]),c_0_235]),c_0_237])]),c_0_242]),c_0_238]) ).
cnf(c_0_271,negated_conjecture,
( k1_tarski(k1_rlvect_1(esk2_0)) != esk3_0
| ~ l1_struct_0(esk1_0) ),
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_272,plain,
( k1_tarski(k1_rlvect_1(esk2_0)) = esk3_0
| ~ r2_hidden(k1_rlvect_1(esk2_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_273,negated_conjecture,
( esk16_1(esk3_0) = k1_rlvect_1(esk2_0)
| v1_xboole_0(esk3_0) ),
inference(spm,[status(thm)],[c_0_245,c_0_270]) ).
cnf(c_0_274,plain,
( l1_rlvect_1(X1)
| ~ l3_vectsp_1(X1) ),
i_0_68 ).
cnf(c_0_275,negated_conjecture,
( ~ l1_struct_0(esk1_0)
| ~ r2_hidden(k1_rlvect_1(esk2_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_276,plain,
( v1_xboole_0(esk3_0)
| r2_hidden(k1_rlvect_1(esk2_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_258,c_0_273]) ).
cnf(c_0_277,plain,
( l2_struct_0(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_252,c_0_274]) ).
cnf(c_0_278,plain,
( v1_xboole_0(esk3_0)
| ~ l1_struct_0(esk1_0) ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_279,plain,
( l1_struct_0(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_251,c_0_277]) ).
cnf(c_0_280,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
i_0_166 ).
cnf(c_0_281,plain,
v1_xboole_0(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_227])]) ).
cnf(c_0_282,negated_conjecture,
esk3_0 != k1_xboole_0,
i_0_2 ).
cnf(c_0_283,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_282]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG218+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n019.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 16:56:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 9.02/2.56 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.02/2.56 # No SInE strategy applied
% 9.02/2.56 # Trying AutoSched0 for 150 seconds
% 9.02/2.56 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 9.02/2.56 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.02/2.56 #
% 9.02/2.56 # Preprocessing time : 0.026 s
% 9.02/2.56 # Presaturation interreduction done
% 9.02/2.56
% 9.02/2.56 # Proof found!
% 9.02/2.56 # SZS status Theorem
% 9.02/2.56 # SZS output start CNFRefutation
% See solution above
% 9.02/2.56 # Training examples: 0 positive, 0 negative
% 9.02/2.56
% 9.02/2.56 # -------------------------------------------------
% 9.02/2.56 # User time : 0.206 s
% 9.02/2.56 # System time : 0.012 s
% 9.02/2.56 # Total time : 0.218 s
% 9.02/2.56 # Maximum resident set size: 7124 pages
% 9.02/2.56
%------------------------------------------------------------------------------