TSTP Solution File: ALG214+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG214+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 15:33:01 EDT 2022
% Result : Theorem 4.53s 2.27s
% Output : CNFRefutation 4.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 27
% Syntax : Number of clauses : 64 ( 49 unt; 15 nHn; 64 RR)
% Number of literals : 331 ( 13 equ; 242 neg)
% Maximal clause size : 22 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_110,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_rmod_4(X3,X2,X1,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)
| ~ r1_tarski(X5,X4)
| ~ m2_rmod_4(X3,X2,X1,X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_110) ).
cnf(i_0_5,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_5) ).
cnf(i_0_8,negated_conjecture,
v6_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_8) ).
cnf(i_0_9,negated_conjecture,
v5_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_9) ).
cnf(i_0_10,negated_conjecture,
v4_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_10) ).
cnf(i_0_11,negated_conjecture,
v3_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_11) ).
cnf(i_0_12,negated_conjecture,
~ v3_struct_0(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_12) ).
cnf(i_0_27,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X2,X1)
| m2_rmod_4(esk5_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-zo6hs6dp/lgb.p',i_0_27) ).
cnf(i_0_4,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_4) ).
cnf(i_0_3,negated_conjecture,
r1_tarski(esk3_0,esk4_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_3) ).
cnf(i_0_6,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_6) ).
cnf(i_0_13,negated_conjecture,
l3_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_13) ).
cnf(i_0_14,negated_conjecture,
v8_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_14) ).
cnf(i_0_15,negated_conjecture,
v7_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_15) ).
cnf(i_0_16,negated_conjecture,
v6_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_16) ).
cnf(i_0_17,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_17) ).
cnf(i_0_18,negated_conjecture,
v6_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_18) ).
cnf(i_0_19,negated_conjecture,
v5_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_19) ).
cnf(i_0_20,negated_conjecture,
v4_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_20) ).
cnf(i_0_21,negated_conjecture,
v3_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_21) ).
cnf(i_0_7,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_7) ).
cnf(i_0_22,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_22) ).
cnf(i_0_1,negated_conjecture,
~ v1_rmod_5(esk3_0,esk1_0,esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_1) ).
cnf(i_0_26,plain,
( k5_rmod_4(X1,X2,esk5_3(X1,X2,X3)) = k1_rlvect_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_rmod_5(X3,X1,X2)
| ~ 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)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_26) ).
cnf(i_0_28,plain,
( k2_rmod_4(X1,X2,X3) = k1_xboole_0
| v3_struct_0(X2)
| v3_struct_0(X1)
| k5_rmod_4(X1,X2,X3) != k1_rlvect_1(X2)
| ~ 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)
| ~ v1_rmod_5(X4,X1,X2)
| ~ m2_rmod_4(X3,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_28) ).
cnf(i_0_2,negated_conjecture,
v1_rmod_5(esk4_0,esk1_0,esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zo6hs6dp/lgb.p',i_0_2) ).
cnf(i_0_25,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X2,X1)
| k2_rmod_4(X2,X1,esk5_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-zo6hs6dp/lgb.p',i_0_25) ).
cnf(c_0_138,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_rmod_4(X3,X2,X1,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)
| ~ r1_tarski(X5,X4)
| ~ m2_rmod_4(X3,X2,X1,X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_110 ).
cnf(c_0_139,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
i_0_5 ).
cnf(c_0_140,negated_conjecture,
v6_rlvect_1(esk2_0),
i_0_8 ).
cnf(c_0_141,negated_conjecture,
v5_rlvect_1(esk2_0),
i_0_9 ).
cnf(c_0_142,negated_conjecture,
v4_rlvect_1(esk2_0),
i_0_10 ).
cnf(c_0_143,negated_conjecture,
v3_rlvect_1(esk2_0),
i_0_11 ).
cnf(c_0_144,negated_conjecture,
~ v3_struct_0(esk2_0),
i_0_12 ).
cnf(c_0_145,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X2,X1)
| m2_rmod_4(esk5_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_27 ).
cnf(c_0_146,negated_conjecture,
( m2_rmod_4(X1,X2,esk2_0,X3)
| v3_struct_0(X2)
| ~ m2_rmod_4(X1,X2,esk2_0,esk3_0)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ r1_tarski(esk3_0,X3)
| ~ l1_vectsp_2(esk2_0,X2)
| ~ v5_vectsp_2(esk2_0,X2)
| ~ m1_subset_1(X3,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(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]),c_0_141]),c_0_142]),c_0_143])]),c_0_144]) ).
cnf(c_0_147,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
i_0_4 ).
cnf(c_0_148,negated_conjecture,
r1_tarski(esk3_0,esk4_0),
i_0_3 ).
cnf(c_0_149,negated_conjecture,
( m2_rmod_4(esk5_3(X1,esk2_0,esk3_0),X1,esk2_0,esk3_0)
| v3_struct_0(X1)
| v1_rmod_5(esk3_0,X1,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_139]),c_0_140]),c_0_141]),c_0_142]),c_0_143])]),c_0_144]) ).
cnf(c_0_150,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
i_0_6 ).
cnf(c_0_151,negated_conjecture,
l3_vectsp_1(esk1_0),
i_0_13 ).
cnf(c_0_152,negated_conjecture,
v8_vectsp_1(esk1_0),
i_0_14 ).
cnf(c_0_153,negated_conjecture,
v7_vectsp_1(esk1_0),
i_0_15 ).
cnf(c_0_154,negated_conjecture,
v6_vectsp_1(esk1_0),
i_0_16 ).
cnf(c_0_155,negated_conjecture,
v4_group_1(esk1_0),
i_0_17 ).
cnf(c_0_156,negated_conjecture,
v6_rlvect_1(esk1_0),
i_0_18 ).
cnf(c_0_157,negated_conjecture,
v5_rlvect_1(esk1_0),
i_0_19 ).
cnf(c_0_158,negated_conjecture,
v4_rlvect_1(esk1_0),
i_0_20 ).
cnf(c_0_159,negated_conjecture,
v3_rlvect_1(esk1_0),
i_0_21 ).
cnf(c_0_160,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
i_0_7 ).
cnf(c_0_161,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_22 ).
cnf(c_0_162,negated_conjecture,
~ v1_rmod_5(esk3_0,esk1_0,esk2_0),
i_0_1 ).
cnf(c_0_163,plain,
( k5_rmod_4(X1,X2,esk5_3(X1,X2,X3)) = k1_rlvect_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_rmod_5(X3,X1,X2)
| ~ 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)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
i_0_26 ).
cnf(c_0_164,plain,
( k2_rmod_4(X1,X2,X3) = k1_xboole_0
| v3_struct_0(X2)
| v3_struct_0(X1)
| k5_rmod_4(X1,X2,X3) != k1_rlvect_1(X2)
| ~ 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)
| ~ v1_rmod_5(X4,X1,X2)
| ~ m2_rmod_4(X3,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))) ),
i_0_28 ).
cnf(c_0_165,negated_conjecture,
( m2_rmod_4(X1,X2,esk2_0,esk4_0)
| v3_struct_0(X2)
| ~ m2_rmod_4(X1,X2,esk2_0,esk3_0)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l1_vectsp_2(esk2_0,X2)
| ~ v5_vectsp_2(esk2_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148])]) ).
cnf(c_0_166,negated_conjecture,
m2_rmod_4(esk5_3(esk1_0,esk2_0,esk3_0),esk1_0,esk2_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(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]),c_0_152]),c_0_153]),c_0_154]),c_0_155]),c_0_156]),c_0_157]),c_0_158]),c_0_159]),c_0_160])]),c_0_161]),c_0_162]) ).
cnf(c_0_167,negated_conjecture,
( k5_rmod_4(X1,esk2_0,esk5_3(X1,esk2_0,esk3_0)) = k1_rlvect_1(esk2_0)
| v3_struct_0(X1)
| v1_rmod_5(esk3_0,X1,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_139]),c_0_140]),c_0_141]),c_0_142]),c_0_143])]),c_0_144]) ).
cnf(c_0_168,negated_conjecture,
( k2_rmod_4(X1,esk2_0,X2) = k1_xboole_0
| v3_struct_0(X1)
| k5_rmod_4(X1,esk2_0,X2) != k1_rlvect_1(esk2_0)
| ~ m2_rmod_4(X2,X1,esk2_0,esk4_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)
| ~ v1_rmod_5(esk4_0,X1,esk2_0)
| ~ 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_147]),c_0_140]),c_0_141]),c_0_142]),c_0_143])]),c_0_144]) ).
cnf(c_0_169,negated_conjecture,
m2_rmod_4(esk5_3(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0,esk4_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_151]),c_0_152]),c_0_153]),c_0_154]),c_0_155]),c_0_156]),c_0_157]),c_0_158]),c_0_159]),c_0_150]),c_0_160])]),c_0_161]) ).
cnf(c_0_170,negated_conjecture,
k5_rmod_4(esk1_0,esk2_0,esk5_3(esk1_0,esk2_0,esk3_0)) = k1_rlvect_1(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(spm,[status(thm)],[c_0_167,c_0_150]),c_0_151]),c_0_152]),c_0_153]),c_0_154]),c_0_155]),c_0_156]),c_0_157]),c_0_158]),c_0_159]),c_0_160])]),c_0_161]),c_0_162]) ).
cnf(c_0_171,negated_conjecture,
v1_rmod_5(esk4_0,esk1_0,esk2_0),
i_0_2 ).
cnf(c_0_172,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X2,X1)
| k2_rmod_4(X2,X1,esk5_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_25 ).
cnf(c_0_173,negated_conjecture,
k2_rmod_4(esk1_0,esk2_0,esk5_3(esk1_0,esk2_0,esk3_0)) = k1_xboole_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]),c_0_151]),c_0_152]),c_0_153]),c_0_154]),c_0_155]),c_0_156]),c_0_157]),c_0_158]),c_0_159]),c_0_171]),c_0_150]),c_0_160])]),c_0_161]) ).
cnf(c_0_174,plain,
$false,
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_151]),c_0_152]),c_0_153]),c_0_154]),c_0_155]),c_0_156]),c_0_140]),c_0_157]),c_0_141]),c_0_158]),c_0_142]),c_0_159]),c_0_143]),c_0_150]),c_0_160]),c_0_139])]),c_0_161]),c_0_144]),c_0_162]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG214+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 : n028.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 : Wed Jun 8 11:58:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 4.53/2.27 # ENIGMATIC: Solved by autoschedule-lgb:
% 4.53/2.27 # No SInE strategy applied
% 4.53/2.27 # Trying AutoSched0 for 150 seconds
% 4.53/2.27 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 4.53/2.27 # and selection function SelectComplexExceptUniqMaxHorn.
% 4.53/2.27 #
% 4.53/2.27 # Preprocessing time : 0.024 s
% 4.53/2.27 # Presaturation interreduction done
% 4.53/2.27
% 4.53/2.27 # Proof found!
% 4.53/2.27 # SZS status Theorem
% 4.53/2.27 # SZS output start CNFRefutation
% See solution above
% 4.53/2.27 # Training examples: 0 positive, 0 negative
% 4.53/2.27
% 4.53/2.27 # -------------------------------------------------
% 4.53/2.27 # User time : 0.038 s
% 4.53/2.27 # System time : 0.004 s
% 4.53/2.27 # Total time : 0.042 s
% 4.53/2.27 # Maximum resident set size: 7124 pages
% 4.53/2.27
%------------------------------------------------------------------------------