TSTP Solution File: ALG216+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG216+2 : 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 15:33:03 EDT 2022
% Result : Theorem 9.21s 3.38s
% Output : CNFRefutation 9.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 34
% Syntax : Number of clauses : 85 ( 46 unt; 17 nHn; 85 RR)
% Number of literals : 359 ( 13 equ; 251 neg)
% Maximal clause size : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 67 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2465,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_rmod_2(X1,X2,X1)
| ~ 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)
| ~ v4_group_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_2465) ).
cnf(i_0_3377,negated_conjecture,
l1_vectsp_2(esk448_0,esk447_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3377) ).
cnf(i_0_3388,negated_conjecture,
v4_group_1(esk447_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3388) ).
cnf(i_0_3389,negated_conjecture,
v6_rlvect_1(esk447_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3389) ).
cnf(i_0_3379,negated_conjecture,
v6_rlvect_1(esk448_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3379) ).
cnf(i_0_3390,negated_conjecture,
v5_rlvect_1(esk447_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3390) ).
cnf(i_0_3380,negated_conjecture,
v5_rlvect_1(esk448_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3380) ).
cnf(i_0_3391,negated_conjecture,
v4_rlvect_1(esk447_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3391) ).
cnf(i_0_3381,negated_conjecture,
v4_rlvect_1(esk448_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3381) ).
cnf(i_0_3392,negated_conjecture,
v3_rlvect_1(esk447_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3392) ).
cnf(i_0_3382,negated_conjecture,
v3_rlvect_1(esk448_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3382) ).
cnf(i_0_3387,negated_conjecture,
v6_vectsp_1(esk447_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3387) ).
cnf(i_0_3385,negated_conjecture,
v8_vectsp_1(esk447_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3385) ).
cnf(i_0_3386,negated_conjecture,
v7_vectsp_1(esk447_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3386) ).
cnf(i_0_3384,negated_conjecture,
l3_vectsp_1(esk447_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3384) ).
cnf(i_0_3378,negated_conjecture,
v5_vectsp_2(esk448_0,esk447_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3378) ).
cnf(i_0_3393,negated_conjecture,
~ v3_struct_0(esk447_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3393) ).
cnf(i_0_3383,negated_conjecture,
~ v3_struct_0(esk448_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3383) ).
cnf(i_0_2107,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_2107) ).
cnf(i_0_301,plain,
( r2_hidden(X1,u1_struct_0(X2))
| ~ l1_struct_0(X2)
| ~ r1_rlvect_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_301) ).
cnf(i_0_2306,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_rlvect_1(X3,k1_rlvect_1(X1))
| ~ 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)
| ~ v4_group_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_2306) ).
cnf(i_0_106,plain,
( k8_rlvect_2(X1,X2,X3) = k8_rlvect_2(X1,X3,X2)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_106) ).
cnf(i_0_828,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_rmod_4(k3_rmod_4(X2,X1),X2,X1)
| ~ 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)
| ~ v4_group_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_828) ).
cnf(i_0_2687,plain,
( k5_rmod_4(X1,X2,k3_rmod_4(X1,X2)) = k1_rlvect_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v6_vectsp_1(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)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_2687) ).
cnf(i_0_874,plain,
( l2_struct_0(X1)
| ~ l2_vectsp_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_874) ).
cnf(i_0_878,plain,
( l2_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_878) ).
cnf(i_0_3158,plain,
( k1_rlvect_1(X1) = k2_group_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| X3 != k1_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v6_vectsp_1(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(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X4,X3),X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3158) ).
cnf(i_0_3374,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(esk448_0,esk449_0,k1_rlvect_1(esk448_0)),esk447_0,esk448_0)
| v1_rmod_5(k8_rlvect_2(esk448_0,k1_rlvect_1(esk448_0),esk449_0),esk447_0,esk448_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3374) ).
cnf(i_0_3376,negated_conjecture,
m1_subset_1(esk449_0,u1_struct_0(esk448_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3376) ).
cnf(i_0_845,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_subset_1(k5_rmod_4(X2,X1,X3),u1_struct_0(X1))
| ~ 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)
| ~ v4_group_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m1_rmod_4(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_845) ).
cnf(i_0_871,plain,
( l1_rlvect_1(X1)
| ~ l1_struct_0(X2)
| ~ l1_vectsp_2(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_871) ).
cnf(i_0_873,plain,
( l1_struct_0(X1)
| ~ l2_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_873) ).
cnf(i_0_3375,negated_conjecture,
k1_rlvect_1(esk447_0) != k2_group_1(esk447_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_3375) ).
cnf(i_0_869,plain,
( l2_struct_0(X1)
| ~ l1_rlvect_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bafeey24/lgb.p',i_0_869) ).
cnf(c_0_3428,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_rmod_2(X1,X2,X1)
| ~ 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)
| ~ v4_group_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2) ),
i_0_2465 ).
cnf(c_0_3429,negated_conjecture,
l1_vectsp_2(esk448_0,esk447_0),
i_0_3377 ).
cnf(c_0_3430,negated_conjecture,
v4_group_1(esk447_0),
i_0_3388 ).
cnf(c_0_3431,negated_conjecture,
v6_rlvect_1(esk447_0),
i_0_3389 ).
cnf(c_0_3432,negated_conjecture,
v6_rlvect_1(esk448_0),
i_0_3379 ).
cnf(c_0_3433,negated_conjecture,
v5_rlvect_1(esk447_0),
i_0_3390 ).
cnf(c_0_3434,negated_conjecture,
v5_rlvect_1(esk448_0),
i_0_3380 ).
cnf(c_0_3435,negated_conjecture,
v4_rlvect_1(esk447_0),
i_0_3391 ).
cnf(c_0_3436,negated_conjecture,
v4_rlvect_1(esk448_0),
i_0_3381 ).
cnf(c_0_3437,negated_conjecture,
v3_rlvect_1(esk447_0),
i_0_3392 ).
cnf(c_0_3438,negated_conjecture,
v3_rlvect_1(esk448_0),
i_0_3382 ).
cnf(c_0_3439,negated_conjecture,
v6_vectsp_1(esk447_0),
i_0_3387 ).
cnf(c_0_3440,negated_conjecture,
v8_vectsp_1(esk447_0),
i_0_3385 ).
cnf(c_0_3441,negated_conjecture,
v7_vectsp_1(esk447_0),
i_0_3386 ).
cnf(c_0_3442,negated_conjecture,
l3_vectsp_1(esk447_0),
i_0_3384 ).
cnf(c_0_3443,negated_conjecture,
v5_vectsp_2(esk448_0,esk447_0),
i_0_3378 ).
cnf(c_0_3444,negated_conjecture,
~ v3_struct_0(esk447_0),
i_0_3393 ).
cnf(c_0_3445,negated_conjecture,
~ v3_struct_0(esk448_0),
i_0_3383 ).
cnf(c_0_3446,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
i_0_2107 ).
cnf(c_0_3447,plain,
( r2_hidden(X1,u1_struct_0(X2))
| ~ l1_struct_0(X2)
| ~ r1_rlvect_1(X2,X1) ),
i_0_301 ).
cnf(c_0_3448,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_rlvect_1(X3,k1_rlvect_1(X1))
| ~ 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)
| ~ v4_group_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
i_0_2306 ).
cnf(c_0_3449,negated_conjecture,
m1_rmod_2(esk448_0,esk447_0,esk448_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_3428,c_0_3429]),c_0_3430]),c_0_3431]),c_0_3432]),c_0_3433]),c_0_3434]),c_0_3435]),c_0_3436]),c_0_3437]),c_0_3438]),c_0_3439]),c_0_3440]),c_0_3441]),c_0_3442]),c_0_3443])]),c_0_3444]),c_0_3445]) ).
cnf(c_0_3450,plain,
( m1_subset_1(X1,u1_struct_0(X2))
| ~ r1_rlvect_1(X2,X1)
| ~ l1_struct_0(X2) ),
inference(spm,[status(thm)],[c_0_3446,c_0_3447]) ).
cnf(c_0_3451,negated_conjecture,
r1_rlvect_1(esk448_0,k1_rlvect_1(esk448_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_3448,c_0_3449]),c_0_3430]),c_0_3431]),c_0_3432]),c_0_3433]),c_0_3434]),c_0_3435]),c_0_3436]),c_0_3437]),c_0_3438]),c_0_3439]),c_0_3440]),c_0_3441]),c_0_3442]),c_0_3429]),c_0_3443])]),c_0_3444]),c_0_3445]) ).
cnf(c_0_3452,plain,
( k8_rlvect_2(X1,X2,X3) = k8_rlvect_2(X1,X3,X2)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_106 ).
cnf(c_0_3453,plain,
( m1_subset_1(k1_rlvect_1(esk448_0),u1_struct_0(esk448_0))
| ~ l1_struct_0(esk448_0) ),
inference(spm,[status(thm)],[c_0_3450,c_0_3451]) ).
cnf(c_0_3454,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_rmod_4(k3_rmod_4(X2,X1),X2,X1)
| ~ 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)
| ~ v4_group_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2) ),
i_0_828 ).
cnf(c_0_3455,plain,
( k5_rmod_4(X1,X2,k3_rmod_4(X1,X2)) = k1_rlvect_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v6_vectsp_1(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)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1) ),
i_0_2687 ).
cnf(c_0_3456,plain,
( l2_struct_0(X1)
| ~ l2_vectsp_1(X1) ),
i_0_874 ).
cnf(c_0_3457,plain,
( l2_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
i_0_878 ).
cnf(c_0_3458,plain,
( k1_rlvect_1(X1) = k2_group_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| X3 != k1_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v6_vectsp_1(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(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X4,X3),X1,X2) ),
i_0_3158 ).
cnf(c_0_3459,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(esk448_0,esk449_0,k1_rlvect_1(esk448_0)),esk447_0,esk448_0)
| v1_rmod_5(k8_rlvect_2(esk448_0,k1_rlvect_1(esk448_0),esk449_0),esk447_0,esk448_0) ),
i_0_3374 ).
cnf(c_0_3460,plain,
( k8_rlvect_2(esk448_0,X1,k1_rlvect_1(esk448_0)) = k8_rlvect_2(esk448_0,k1_rlvect_1(esk448_0),X1)
| ~ l1_struct_0(esk448_0)
| ~ m1_subset_1(X1,u1_struct_0(esk448_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3452,c_0_3453]),c_0_3445]) ).
cnf(c_0_3461,negated_conjecture,
m1_subset_1(esk449_0,u1_struct_0(esk448_0)),
i_0_3376 ).
cnf(c_0_3462,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_subset_1(k5_rmod_4(X2,X1,X3),u1_struct_0(X1))
| ~ 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)
| ~ v4_group_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m1_rmod_4(X3,X2,X1) ),
i_0_845 ).
cnf(c_0_3463,negated_conjecture,
m1_rmod_4(k3_rmod_4(esk447_0,esk448_0),esk447_0,esk448_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_3454,c_0_3429]),c_0_3430]),c_0_3431]),c_0_3432]),c_0_3433]),c_0_3434]),c_0_3435]),c_0_3436]),c_0_3437]),c_0_3438]),c_0_3439]),c_0_3440]),c_0_3441]),c_0_3442]),c_0_3443])]),c_0_3444]),c_0_3445]) ).
cnf(c_0_3464,negated_conjecture,
k5_rmod_4(esk447_0,esk448_0,k3_rmod_4(esk447_0,esk448_0)) = k1_rlvect_1(esk448_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_3455,c_0_3429]),c_0_3430]),c_0_3432]),c_0_3431]),c_0_3434]),c_0_3433]),c_0_3436]),c_0_3435]),c_0_3438]),c_0_3437]),c_0_3439]),c_0_3440]),c_0_3441]),c_0_3442]),c_0_3443])]),c_0_3445]),c_0_3444]) ).
cnf(c_0_3465,plain,
( l1_rlvect_1(X1)
| ~ l1_struct_0(X2)
| ~ l1_vectsp_2(X1,X2) ),
i_0_871 ).
cnf(c_0_3466,plain,
( l1_struct_0(X1)
| ~ l2_struct_0(X1) ),
i_0_873 ).
cnf(c_0_3467,plain,
( l2_struct_0(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_3456,c_0_3457]) ).
cnf(c_0_3468,plain,
( k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(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)
| ~ v6_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ m1_subset_1(k1_rlvect_1(X2),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2) ),
inference(er,[status(thm)],[c_0_3458]) ).
cnf(c_0_3469,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(esk448_0,esk449_0,k1_rlvect_1(esk448_0)),esk447_0,esk448_0)
| ~ l1_struct_0(esk448_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3459,c_0_3460]),c_0_3461])]) ).
cnf(c_0_3470,negated_conjecture,
m1_subset_1(k1_rlvect_1(esk448_0),u1_struct_0(esk448_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3462,c_0_3463]),c_0_3464]),c_0_3430]),c_0_3431]),c_0_3432]),c_0_3433]),c_0_3434]),c_0_3435]),c_0_3436]),c_0_3437]),c_0_3438]),c_0_3439]),c_0_3440]),c_0_3441]),c_0_3442]),c_0_3429]),c_0_3443])]),c_0_3444]),c_0_3445]) ).
cnf(c_0_3471,negated_conjecture,
k1_rlvect_1(esk447_0) != k2_group_1(esk447_0),
i_0_3375 ).
cnf(c_0_3472,plain,
( l2_struct_0(X1)
| ~ l1_rlvect_1(X1) ),
i_0_869 ).
cnf(c_0_3473,negated_conjecture,
( l1_rlvect_1(esk448_0)
| ~ l1_struct_0(esk447_0) ),
inference(spm,[status(thm)],[c_0_3465,c_0_3429]) ).
cnf(c_0_3474,plain,
( l1_struct_0(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_3466,c_0_3467]) ).
cnf(c_0_3475,negated_conjecture,
~ l1_struct_0(esk448_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3468,c_0_3469]),c_0_3430]),c_0_3432]),c_0_3431]),c_0_3434]),c_0_3433]),c_0_3436]),c_0_3435]),c_0_3438]),c_0_3437]),c_0_3439]),c_0_3440]),c_0_3441]),c_0_3442]),c_0_3429]),c_0_3443]),c_0_3470]),c_0_3461])]),c_0_3471]),c_0_3444]),c_0_3445]) ).
cnf(c_0_3476,plain,
( l1_struct_0(X1)
| ~ l1_rlvect_1(X1) ),
inference(spm,[status(thm)],[c_0_3466,c_0_3472]) ).
cnf(c_0_3477,plain,
l1_rlvect_1(esk448_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3473,c_0_3474]),c_0_3442])]) ).
cnf(c_0_3478,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3475,c_0_3476]),c_0_3477])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : ALG216+2 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.08 % Command : enigmatic-eprover.py %s %d 1
% 0.08/0.26 % Computer : n032.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 600
% 0.08/0.26 % DateTime : Wed Jun 8 07:49:39 EDT 2022
% 0.08/0.27 % CPUTime :
% 0.12/0.34 # ENIGMATIC: Selected SinE mode:
% 0.12/0.42 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.42 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.12/0.42 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.12/0.42 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.21/3.38 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.21/3.38 # No SInE strategy applied
% 9.21/3.38 # Trying AutoSched0 for 150 seconds
% 9.21/3.38 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.21/3.38 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.21/3.38 #
% 9.21/3.38 # Preprocessing time : 0.019 s
% 9.21/3.38 # Presaturation interreduction done
% 9.21/3.38
% 9.21/3.38 # Proof found!
% 9.21/3.38 # SZS status Theorem
% 9.21/3.38 # SZS output start CNFRefutation
% See solution above
% 9.21/3.38 # Training examples: 0 positive, 0 negative
% 9.21/3.38
% 9.21/3.38 # -------------------------------------------------
% 9.21/3.38 # User time : 0.037 s
% 9.21/3.38 # System time : 0.006 s
% 9.21/3.38 # Total time : 0.043 s
% 9.21/3.38 # Maximum resident set size: 7124 pages
% 9.21/3.38
%------------------------------------------------------------------------------