TSTP Solution File: ALG220+4 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG220+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 15:33:06 EDT 2022
% Result : Theorem 13.15s 6.47s
% Output : CNFRefutation 13.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 37
% Syntax : Number of clauses : 83 ( 56 unt; 23 nHn; 83 RR)
% Number of literals : 550 ( 8 equ; 424 neg)
% Maximal clause size : 29 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 76 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3535,plain,
( X1 = X2
| v3_struct_0(X2)
| v3_struct_0(X1)
| v3_struct_0(X3)
| ~ v4_group_1(X3)
| ~ l3_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X3)
| ~ l1_vectsp_2(X2,X3)
| ~ l1_vectsp_2(X1,X3)
| ~ v3_vectsp_2(X2,X3)
| ~ v3_vectsp_2(X1,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X1,X3)
| ~ m1_rmod_2(X2,X3,X1)
| ~ m1_rmod_2(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_3535) ).
cnf(i_0_810,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_vectsp_2(X3,X2)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_810) ).
cnf(i_0_809,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| l1_vectsp_2(X3,X2)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_809) ).
cnf(i_0_814,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_rlvect_1(X3)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_814) ).
cnf(i_0_813,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v4_rlvect_1(X3)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_813) ).
cnf(i_0_812,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_rlvect_1(X3)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_812) ).
cnf(i_0_811,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v6_rlvect_1(X3)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_811) ).
cnf(i_0_815,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v3_struct_0(X3)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_815) ).
cnf(i_0_687,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| v3_vectsp_2(k1_rmod_5(X2,X1,X3),X2)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ v2_vectsp_2(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_687) ).
cnf(i_0_2179,negated_conjecture,
l1_vectsp_2(esk361_0,esk360_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2179) ).
cnf(i_0_2188,negated_conjecture,
v2_vectsp_2(esk360_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2188) ).
cnf(i_0_2193,negated_conjecture,
v7_group_1(esk360_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2193) ).
cnf(i_0_2195,negated_conjecture,
v6_rlvect_1(esk360_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2195) ).
cnf(i_0_2182,negated_conjecture,
v6_rlvect_1(esk361_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2182) ).
cnf(i_0_2196,negated_conjecture,
v5_rlvect_1(esk360_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2196) ).
cnf(i_0_2183,negated_conjecture,
v5_rlvect_1(esk361_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2183) ).
cnf(i_0_2197,negated_conjecture,
v4_rlvect_1(esk360_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2197) ).
cnf(i_0_2184,negated_conjecture,
v4_rlvect_1(esk361_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2184) ).
cnf(i_0_2198,negated_conjecture,
v3_rlvect_1(esk360_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2198) ).
cnf(i_0_2185,negated_conjecture,
v3_rlvect_1(esk361_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2185) ).
cnf(i_0_2192,negated_conjecture,
v6_vectsp_1(esk360_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2192) ).
cnf(i_0_2190,negated_conjecture,
v8_vectsp_1(esk360_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2190) ).
cnf(i_0_2191,negated_conjecture,
v7_vectsp_1(esk360_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2191) ).
cnf(i_0_2187,negated_conjecture,
l3_vectsp_1(esk360_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2187) ).
cnf(i_0_2194,negated_conjecture,
v4_group_1(esk360_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2194) ).
cnf(i_0_2180,negated_conjecture,
v5_vectsp_2(esk361_0,esk360_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2180) ).
cnf(i_0_2189,negated_conjecture,
~ v10_vectsp_1(esk360_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2189) ).
cnf(i_0_2199,negated_conjecture,
~ v3_struct_0(esk360_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2199) ).
cnf(i_0_2186,negated_conjecture,
~ v3_struct_0(esk361_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2186) ).
cnf(i_0_686,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| m1_rmod_2(k1_rmod_5(X2,X1,X3),X2,X1)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ v2_vectsp_2(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_686) ).
cnf(i_0_2181,negated_conjecture,
v3_vectsp_2(esk361_0,esk360_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2181) ).
cnf(i_0_2177,negated_conjecture,
m1_subset_1(esk363_0,k1_zfmisc_1(u1_struct_0(esk361_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2177) ).
cnf(i_0_2079,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| m1_rmod_2(k1_rmod_5(X2,X1,X3),X2,k1_rmod_5(X2,X1,X4))
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ v2_vectsp_2(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ r1_tarski(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2079) ).
cnf(i_0_2174,negated_conjecture,
k1_rmod_5(esk360_0,esk361_0,esk363_0) != esk361_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2174) ).
cnf(i_0_2175,negated_conjecture,
r1_tarski(esk362_0,esk363_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2175) ).
cnf(i_0_2176,negated_conjecture,
k1_rmod_5(esk360_0,esk361_0,esk362_0) = esk361_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2176) ).
cnf(i_0_2178,negated_conjecture,
m1_subset_1(esk362_0,k1_zfmisc_1(u1_struct_0(esk361_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9enoj62u/lgb.p',i_0_2178) ).
cnf(c_0_3573,plain,
( X1 = X2
| v3_struct_0(X2)
| v3_struct_0(X1)
| v3_struct_0(X3)
| ~ v4_group_1(X3)
| ~ l3_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X3)
| ~ l1_vectsp_2(X2,X3)
| ~ l1_vectsp_2(X1,X3)
| ~ v3_vectsp_2(X2,X3)
| ~ v3_vectsp_2(X1,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X1,X3)
| ~ m1_rmod_2(X2,X3,X1)
| ~ m1_rmod_2(X1,X3,X2) ),
i_0_3535 ).
cnf(c_0_3574,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_vectsp_2(X3,X2)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
i_0_810 ).
cnf(c_0_3575,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| l1_vectsp_2(X3,X2)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
i_0_809 ).
cnf(c_0_3576,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_rlvect_1(X3)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
i_0_814 ).
cnf(c_0_3577,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v4_rlvect_1(X3)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
i_0_813 ).
cnf(c_0_3578,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_rlvect_1(X3)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
i_0_812 ).
cnf(c_0_3579,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v6_rlvect_1(X3)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
i_0_811 ).
cnf(c_0_3580,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v3_struct_0(X3)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
i_0_815 ).
cnf(c_0_3581,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| v3_vectsp_2(k1_rmod_5(X2,X1,X3),X2)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ v2_vectsp_2(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_687 ).
cnf(c_0_3582,negated_conjecture,
l1_vectsp_2(esk361_0,esk360_0),
i_0_2179 ).
cnf(c_0_3583,negated_conjecture,
v2_vectsp_2(esk360_0),
i_0_2188 ).
cnf(c_0_3584,negated_conjecture,
v7_group_1(esk360_0),
i_0_2193 ).
cnf(c_0_3585,negated_conjecture,
v6_rlvect_1(esk360_0),
i_0_2195 ).
cnf(c_0_3586,negated_conjecture,
v6_rlvect_1(esk361_0),
i_0_2182 ).
cnf(c_0_3587,negated_conjecture,
v5_rlvect_1(esk360_0),
i_0_2196 ).
cnf(c_0_3588,negated_conjecture,
v5_rlvect_1(esk361_0),
i_0_2183 ).
cnf(c_0_3589,negated_conjecture,
v4_rlvect_1(esk360_0),
i_0_2197 ).
cnf(c_0_3590,negated_conjecture,
v4_rlvect_1(esk361_0),
i_0_2184 ).
cnf(c_0_3591,negated_conjecture,
v3_rlvect_1(esk360_0),
i_0_2198 ).
cnf(c_0_3592,negated_conjecture,
v3_rlvect_1(esk361_0),
i_0_2185 ).
cnf(c_0_3593,negated_conjecture,
v6_vectsp_1(esk360_0),
i_0_2192 ).
cnf(c_0_3594,negated_conjecture,
v8_vectsp_1(esk360_0),
i_0_2190 ).
cnf(c_0_3595,negated_conjecture,
v7_vectsp_1(esk360_0),
i_0_2191 ).
cnf(c_0_3596,negated_conjecture,
l3_vectsp_1(esk360_0),
i_0_2187 ).
cnf(c_0_3597,negated_conjecture,
v4_group_1(esk360_0),
i_0_2194 ).
cnf(c_0_3598,negated_conjecture,
v5_vectsp_2(esk361_0,esk360_0),
i_0_2180 ).
cnf(c_0_3599,negated_conjecture,
~ v10_vectsp_1(esk360_0),
i_0_2189 ).
cnf(c_0_3600,negated_conjecture,
~ v3_struct_0(esk360_0),
i_0_2199 ).
cnf(c_0_3601,negated_conjecture,
~ v3_struct_0(esk361_0),
i_0_2186 ).
cnf(c_0_3602,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| m1_rmod_2(k1_rmod_5(X2,X1,X3),X2,X1)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ v2_vectsp_2(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_686 ).
cnf(c_0_3603,plain,
( X1 = X2
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m1_rmod_2(X2,X3,X1)
| ~ m1_rmod_2(X1,X3,X2)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v6_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ l3_vectsp_1(X3)
| ~ v4_group_1(X3)
| ~ l1_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v3_vectsp_2(X2,X3)
| ~ v3_vectsp_2(X1,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_3573,c_0_3574]),c_0_3575]),c_0_3576]),c_0_3577]),c_0_3578]),c_0_3579]),c_0_3580]) ).
cnf(c_0_3604,negated_conjecture,
v3_vectsp_2(esk361_0,esk360_0),
i_0_2181 ).
cnf(c_0_3605,negated_conjecture,
( v3_vectsp_2(k1_rmod_5(esk360_0,esk361_0,X1),esk360_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk361_0))) ),
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_3581,c_0_3582]),c_0_3583]),c_0_3584]),c_0_3585]),c_0_3586]),c_0_3587]),c_0_3588]),c_0_3589]),c_0_3590]),c_0_3591]),c_0_3592]),c_0_3593]),c_0_3594]),c_0_3595]),c_0_3596]),c_0_3597]),c_0_3598])]),c_0_3599]),c_0_3600]),c_0_3601]) ).
cnf(c_0_3606,negated_conjecture,
m1_subset_1(esk363_0,k1_zfmisc_1(u1_struct_0(esk361_0))),
i_0_2177 ).
cnf(c_0_3607,negated_conjecture,
( m1_rmod_2(k1_rmod_5(esk360_0,esk361_0,X1),esk360_0,esk361_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk361_0))) ),
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_3602,c_0_3582]),c_0_3583]),c_0_3584]),c_0_3585]),c_0_3586]),c_0_3587]),c_0_3588]),c_0_3589]),c_0_3590]),c_0_3591]),c_0_3592]),c_0_3593]),c_0_3594]),c_0_3595]),c_0_3596]),c_0_3597]),c_0_3598])]),c_0_3599]),c_0_3600]),c_0_3601]) ).
cnf(c_0_3608,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| m1_rmod_2(k1_rmod_5(X2,X1,X3),X2,k1_rmod_5(X2,X1,X4))
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ 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)
| ~ v2_vectsp_2(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ r1_tarski(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_2079 ).
cnf(c_0_3609,negated_conjecture,
( X1 = esk361_0
| ~ m1_rmod_2(esk361_0,esk360_0,X1)
| ~ m1_rmod_2(X1,esk360_0,esk361_0)
| ~ v3_vectsp_2(X1,esk360_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_3603,c_0_3604]),c_0_3585]),c_0_3586]),c_0_3587]),c_0_3588]),c_0_3589]),c_0_3590]),c_0_3591]),c_0_3592]),c_0_3593]),c_0_3594]),c_0_3595]),c_0_3596]),c_0_3597]),c_0_3582]),c_0_3598])]),c_0_3600]),c_0_3601]) ).
cnf(c_0_3610,negated_conjecture,
v3_vectsp_2(k1_rmod_5(esk360_0,esk361_0,esk363_0),esk360_0),
inference(spm,[status(thm)],[c_0_3605,c_0_3606]) ).
cnf(c_0_3611,negated_conjecture,
m1_rmod_2(k1_rmod_5(esk360_0,esk361_0,esk363_0),esk360_0,esk361_0),
inference(spm,[status(thm)],[c_0_3607,c_0_3606]) ).
cnf(c_0_3612,negated_conjecture,
k1_rmod_5(esk360_0,esk361_0,esk363_0) != esk361_0,
i_0_2174 ).
cnf(c_0_3613,negated_conjecture,
( m1_rmod_2(k1_rmod_5(esk360_0,esk361_0,X1),esk360_0,k1_rmod_5(esk360_0,esk361_0,X2))
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(esk361_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk361_0))) ),
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_3608,c_0_3582]),c_0_3583]),c_0_3584]),c_0_3585]),c_0_3586]),c_0_3587]),c_0_3588]),c_0_3589]),c_0_3590]),c_0_3591]),c_0_3592]),c_0_3593]),c_0_3594]),c_0_3595]),c_0_3596]),c_0_3597]),c_0_3598])]),c_0_3599]),c_0_3600]),c_0_3601]) ).
cnf(c_0_3614,negated_conjecture,
r1_tarski(esk362_0,esk363_0),
i_0_2175 ).
cnf(c_0_3615,negated_conjecture,
k1_rmod_5(esk360_0,esk361_0,esk362_0) = esk361_0,
i_0_2176 ).
cnf(c_0_3616,negated_conjecture,
m1_subset_1(esk362_0,k1_zfmisc_1(u1_struct_0(esk361_0))),
i_0_2178 ).
cnf(c_0_3617,negated_conjecture,
~ m1_rmod_2(esk361_0,esk360_0,k1_rmod_5(esk360_0,esk361_0,esk363_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3609,c_0_3610]),c_0_3611])]),c_0_3612]) ).
cnf(c_0_3618,negated_conjecture,
$false,
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_3613,c_0_3614]),c_0_3615]),c_0_3606]),c_0_3616])]),c_0_3617]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG220+4 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.31 % Computer : n032.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Wed Jun 8 15:20:41 EDT 2022
% 0.12/0.31 % CPUTime :
% 0.16/0.40 # ENIGMATIC: Selected SinE mode:
% 1.04/1.24 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/1.24 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 1.04/1.24 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 1.04/1.24 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 13.15/6.47 # ENIGMATIC: Solved by autoschedule-lgb:
% 13.15/6.47 # No SInE strategy applied
% 13.15/6.47 # Trying AutoSched0 for 148 seconds
% 13.15/6.47 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 13.15/6.47 # and selection function SelectCQIPrecWNTNp.
% 13.15/6.47 #
% 13.15/6.47 # Preprocessing time : 0.030 s
% 13.15/6.47 # Presaturation interreduction done
% 13.15/6.47
% 13.15/6.47 # Proof found!
% 13.15/6.47 # SZS status Theorem
% 13.15/6.47 # SZS output start CNFRefutation
% See solution above
% 13.15/6.47 # Training examples: 0 positive, 0 negative
% 13.15/6.47
% 13.15/6.47 # -------------------------------------------------
% 13.15/6.47 # User time : 0.070 s
% 13.15/6.47 # System time : 0.008 s
% 13.15/6.47 # Total time : 0.078 s
% 13.15/6.47 # Maximum resident set size: 7128 pages
% 13.15/6.47
%------------------------------------------------------------------------------