TSTP Solution File: LAT355+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT355+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n015.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 : Sun Jul 17 04:30:14 EDT 2022
% Result : Theorem 10.54s 2.87s
% Output : CNFRefutation 10.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 38
% Syntax : Number of clauses : 110 ( 57 unt; 5 nHn; 110 RR)
% Number of literals : 571 ( 15 equ; 474 neg)
% Maximal clause size : 26 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 99 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_815,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_815) ).
cnf(i_0_2,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_2) ).
cnf(i_0_334,plain,
( m2_relset_1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_334) ).
cnf(i_0_4,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v1_funct_1(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_5) ).
cnf(i_0_13,negated_conjecture,
l1_orders_2(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_13) ).
cnf(i_0_6,negated_conjecture,
l1_orders_2(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_6) ).
cnf(i_0_15,negated_conjecture,
v2_lattice3(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_15) ).
cnf(i_0_8,negated_conjecture,
v2_lattice3(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_8) ).
cnf(i_0_16,negated_conjecture,
v1_lattice3(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_16) ).
cnf(i_0_9,negated_conjecture,
v1_lattice3(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_9) ).
cnf(i_0_17,negated_conjecture,
v4_orders_2(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_17) ).
cnf(i_0_10,negated_conjecture,
v4_orders_2(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_10) ).
cnf(i_0_18,negated_conjecture,
v3_orders_2(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_18) ).
cnf(i_0_11,negated_conjecture,
v3_orders_2(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_11) ).
cnf(i_0_19,negated_conjecture,
v2_orders_2(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_19) ).
cnf(i_0_12,negated_conjecture,
v2_orders_2(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_12) ).
cnf(i_0_335,plain,
( v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_335) ).
cnf(i_0_336,plain,
( v1_funct_1(k2_waybel34(X1,X2,X3))
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_336) ).
cnf(i_0_320,plain,
( v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
| X3 != k2_waybel34(X1,X2,X4)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v18_waybel_0(X4,X2,X1)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_320) ).
cnf(i_0_321,plain,
( k3_waybel34(X1,X2,X3) = X3
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_321) ).
cnf(i_0_822,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X2),X3,X4),k7_lattice3(X1),k7_lattice3(X2))
| X5 != X3
| X6 != X4
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X2,X1,X6,X5),X2,X1)
| ~ v1_funct_2(X4,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_2(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ m2_relset_1(X4,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_822) ).
cnf(i_0_3,negated_conjecture,
v18_waybel_0(esk3_0,esk1_0,esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_3) ).
cnf(i_0_14,negated_conjecture,
v3_lattice3(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_14) ).
cnf(i_0_7,negated_conjecture,
v3_lattice3(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_7) ).
cnf(i_0_338,plain,
( m2_relset_1(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_338) ).
cnf(i_0_339,plain,
( v1_funct_2(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_339) ).
cnf(i_0_89,plain,
( ~ v1_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v3_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_89) ).
cnf(i_0_483,plain,
( v17_waybel_0(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2))
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X3)
| ~ v18_waybel_0(X3,X1,X2)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_483) ).
cnf(i_0_1,negated_conjecture,
k1_waybel34(k7_lattice3(esk1_0),k7_lattice3(esk2_0),k3_waybel34(esk1_0,esk2_0,esk3_0)) != k2_waybel34(esk2_0,esk1_0,esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_1) ).
cnf(i_0_317,plain,
( X1 = k1_waybel34(X2,X3,X4)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X4)
| ~ v17_waybel_0(X4,X2,X3)
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_waybel_1(k1_waybel_1(X2,X3,X4,X1),X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_317) ).
cnf(i_0_523,plain,
( v3_struct_0(X1)
| v3_lattice3(k7_lattice3(X1))
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_523) ).
cnf(i_0_514,plain,
( v2_lattice3(k7_lattice3(X1))
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_514) ).
cnf(i_0_501,plain,
( v1_lattice3(k7_lattice3(X1))
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_501) ).
cnf(i_0_461,plain,
( v3_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_461) ).
cnf(i_0_477,plain,
( v4_orders_2(k7_lattice3(X1))
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_477) ).
cnf(i_0_439,plain,
( v2_orders_2(k7_lattice3(X1))
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_439) ).
cnf(i_0_344,plain,
( l1_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tju_ak_n/input.p',i_0_344) ).
cnf(c_0_861,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_815 ).
cnf(c_0_862,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
i_0_2 ).
cnf(c_0_863,plain,
( m2_relset_1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
i_0_334 ).
cnf(c_0_864,negated_conjecture,
m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_861,c_0_862]) ).
cnf(c_0_865,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
i_0_4 ).
cnf(c_0_866,negated_conjecture,
v1_funct_1(esk3_0),
i_0_5 ).
cnf(c_0_867,negated_conjecture,
l1_orders_2(esk1_0),
i_0_13 ).
cnf(c_0_868,negated_conjecture,
l1_orders_2(esk2_0),
i_0_6 ).
cnf(c_0_869,negated_conjecture,
v2_lattice3(esk1_0),
i_0_15 ).
cnf(c_0_870,negated_conjecture,
v2_lattice3(esk2_0),
i_0_8 ).
cnf(c_0_871,negated_conjecture,
v1_lattice3(esk1_0),
i_0_16 ).
cnf(c_0_872,negated_conjecture,
v1_lattice3(esk2_0),
i_0_9 ).
cnf(c_0_873,negated_conjecture,
v4_orders_2(esk1_0),
i_0_17 ).
cnf(c_0_874,negated_conjecture,
v4_orders_2(esk2_0),
i_0_10 ).
cnf(c_0_875,negated_conjecture,
v3_orders_2(esk1_0),
i_0_18 ).
cnf(c_0_876,negated_conjecture,
v3_orders_2(esk2_0),
i_0_11 ).
cnf(c_0_877,negated_conjecture,
v2_orders_2(esk1_0),
i_0_19 ).
cnf(c_0_878,negated_conjecture,
v2_orders_2(esk2_0),
i_0_12 ).
cnf(c_0_879,plain,
( v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
i_0_335 ).
cnf(c_0_880,plain,
( v1_funct_1(k2_waybel34(X1,X2,X3))
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
i_0_336 ).
cnf(c_0_881,plain,
( v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
| X3 != k2_waybel34(X1,X2,X4)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v18_waybel_0(X4,X2,X1)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
i_0_320 ).
cnf(c_0_882,negated_conjecture,
m2_relset_1(k2_waybel34(esk2_0,esk1_0,esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
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_863,c_0_864]),c_0_865]),c_0_866]),c_0_867]),c_0_868]),c_0_869]),c_0_870]),c_0_871]),c_0_872]),c_0_873]),c_0_874]),c_0_875]),c_0_876]),c_0_877]),c_0_878])]) ).
cnf(c_0_883,plain,
( k3_waybel34(X1,X2,X3) = X3
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
i_0_321 ).
cnf(c_0_884,negated_conjecture,
v1_funct_2(k2_waybel34(esk2_0,esk1_0,esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
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_879,c_0_864]),c_0_865]),c_0_866]),c_0_867]),c_0_868]),c_0_869]),c_0_870]),c_0_871]),c_0_872]),c_0_873]),c_0_874]),c_0_875]),c_0_876]),c_0_877]),c_0_878])]) ).
cnf(c_0_885,negated_conjecture,
v1_funct_1(k2_waybel34(esk2_0,esk1_0,esk3_0)),
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_880,c_0_864]),c_0_865]),c_0_866]),c_0_867]),c_0_868]),c_0_869]),c_0_870]),c_0_871]),c_0_872]),c_0_873]),c_0_874]),c_0_875]),c_0_876]),c_0_877]),c_0_878])]) ).
cnf(c_0_886,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X2),X3,X4),k7_lattice3(X1),k7_lattice3(X2))
| X5 != X3
| X6 != X4
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X2,X1,X6,X5),X2,X1)
| ~ v1_funct_2(X4,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_2(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ m2_relset_1(X4,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2))) ),
i_0_822 ).
cnf(c_0_887,plain,
( v3_waybel_1(k1_waybel_1(X1,X2,k2_waybel34(X1,X2,X3),X3),X1,X2)
| ~ m2_relset_1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v18_waybel_0(X3,X2,X1)
| ~ v1_funct_1(k2_waybel34(X1,X2,X3))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1) ),
inference(er,[status(thm)],[c_0_881]) ).
cnf(c_0_888,negated_conjecture,
v18_waybel_0(esk3_0,esk1_0,esk2_0),
i_0_3 ).
cnf(c_0_889,negated_conjecture,
v3_lattice3(esk1_0),
i_0_14 ).
cnf(c_0_890,negated_conjecture,
v3_lattice3(esk2_0),
i_0_7 ).
cnf(c_0_891,plain,
( m2_relset_1(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
i_0_338 ).
cnf(c_0_892,plain,
m1_relset_1(k2_waybel34(esk2_0,esk1_0,esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_861,c_0_882]) ).
cnf(c_0_893,plain,
k3_waybel34(esk2_0,esk1_0,k2_waybel34(esk2_0,esk1_0,esk3_0)) = k2_waybel34(esk2_0,esk1_0,esk3_0),
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_883,c_0_882]),c_0_884]),c_0_885]),c_0_867]),c_0_868])]) ).
cnf(c_0_894,negated_conjecture,
k3_waybel34(esk1_0,esk2_0,esk3_0) = esk3_0,
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_883,c_0_862]),c_0_865]),c_0_866]),c_0_868]),c_0_867])]) ).
cnf(c_0_895,plain,
( v1_funct_2(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
i_0_339 ).
cnf(c_0_896,plain,
( ~ v1_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v3_struct_0(X1) ),
i_0_89 ).
cnf(c_0_897,plain,
( v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X2),X3,X4),k7_lattice3(X1),k7_lattice3(X2))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v3_waybel_1(k1_waybel_1(X2,X1,X4,X3),X2,X1)
| ~ m2_relset_1(X4,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_2(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_886])]) ).
cnf(c_0_898,negated_conjecture,
v3_waybel_1(k1_waybel_1(esk2_0,esk1_0,k2_waybel34(esk2_0,esk1_0,esk3_0),esk3_0),esk2_0,esk1_0),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_887,c_0_862]),c_0_882]),c_0_884]),c_0_865]),c_0_888]),c_0_885]),c_0_866]),c_0_867]),c_0_868]),c_0_889]),c_0_890]),c_0_869]),c_0_870]),c_0_871]),c_0_872]),c_0_873]),c_0_874]),c_0_875]),c_0_876]),c_0_877]),c_0_878])]) ).
cnf(c_0_899,plain,
m2_relset_1(k2_waybel34(esk2_0,esk1_0,esk3_0),u1_struct_0(k7_lattice3(esk2_0)),u1_struct_0(k7_lattice3(esk1_0))),
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(spm,[status(thm)],[c_0_891,c_0_892]),c_0_893]),c_0_884]),c_0_885]),c_0_867]),c_0_868])]) ).
cnf(c_0_900,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(k7_lattice3(esk1_0)),u1_struct_0(k7_lattice3(esk2_0))),
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(spm,[status(thm)],[c_0_891,c_0_864]),c_0_894]),c_0_865]),c_0_866]),c_0_868]),c_0_867])]) ).
cnf(c_0_901,plain,
v1_funct_2(k2_waybel34(esk2_0,esk1_0,esk3_0),u1_struct_0(k7_lattice3(esk2_0)),u1_struct_0(k7_lattice3(esk1_0))),
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(spm,[status(thm)],[c_0_895,c_0_892]),c_0_893]),c_0_884]),c_0_885]),c_0_867]),c_0_868])]) ).
cnf(c_0_902,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(k7_lattice3(esk1_0)),u1_struct_0(k7_lattice3(esk2_0))),
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(spm,[status(thm)],[c_0_895,c_0_864]),c_0_894]),c_0_865]),c_0_866]),c_0_868]),c_0_867])]) ).
cnf(c_0_903,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_896,c_0_871]),c_0_867])]) ).
cnf(c_0_904,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_896,c_0_872]),c_0_868])]) ).
cnf(c_0_905,plain,
( v17_waybel_0(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2))
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X3)
| ~ v18_waybel_0(X3,X1,X2)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
i_0_483 ).
cnf(c_0_906,negated_conjecture,
k1_waybel34(k7_lattice3(esk1_0),k7_lattice3(esk2_0),k3_waybel34(esk1_0,esk2_0,esk3_0)) != k2_waybel34(esk2_0,esk1_0,esk3_0),
i_0_1 ).
cnf(c_0_907,plain,
( X1 = k1_waybel34(X2,X3,X4)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X4)
| ~ v17_waybel_0(X4,X2,X3)
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_waybel_1(k1_waybel_1(X2,X3,X4,X1),X2,X3) ),
i_0_317 ).
cnf(c_0_908,plain,
v3_waybel_1(k1_waybel_1(k7_lattice3(esk1_0),k7_lattice3(esk2_0),esk3_0,k2_waybel34(esk2_0,esk1_0,esk3_0)),k7_lattice3(esk1_0),k7_lattice3(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_897,c_0_898]),c_0_899]),c_0_900]),c_0_882]),c_0_862]),c_0_901]),c_0_902]),c_0_884]),c_0_865]),c_0_885]),c_0_866]),c_0_868]),c_0_867]),c_0_874]),c_0_873]),c_0_876]),c_0_875]),c_0_878]),c_0_877])]),c_0_903]),c_0_904]) ).
cnf(c_0_909,negated_conjecture,
v17_waybel_0(esk3_0,k7_lattice3(esk1_0),k7_lattice3(esk2_0)),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_905,c_0_888]),c_0_894]),c_0_864]),c_0_865]),c_0_866]),c_0_868]),c_0_867]),c_0_890]),c_0_889]),c_0_870]),c_0_869]),c_0_872]),c_0_871]),c_0_874]),c_0_873]),c_0_876]),c_0_875]),c_0_878]),c_0_877])]) ).
cnf(c_0_910,negated_conjecture,
k1_waybel34(k7_lattice3(esk1_0),k7_lattice3(esk2_0),esk3_0) != k2_waybel34(esk2_0,esk1_0,esk3_0),
inference(rw,[status(thm)],[c_0_906,c_0_894]) ).
cnf(c_0_911,plain,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v3_lattice3(k7_lattice3(esk2_0))
| ~ v3_lattice3(k7_lattice3(esk1_0))
| ~ v2_lattice3(k7_lattice3(esk2_0))
| ~ v2_lattice3(k7_lattice3(esk1_0))
| ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v1_lattice3(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v3_orders_2(k7_lattice3(esk2_0))
| ~ v3_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_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(spm,[status(thm)],[c_0_907,c_0_908]),c_0_909]),c_0_900]),c_0_899]),c_0_902]),c_0_901]),c_0_866]),c_0_885])]),c_0_910]) ).
cnf(c_0_912,plain,
( v3_struct_0(X1)
| v3_lattice3(k7_lattice3(X1))
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
i_0_523 ).
cnf(c_0_913,plain,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v3_lattice3(k7_lattice3(esk1_0))
| ~ v2_lattice3(k7_lattice3(esk2_0))
| ~ v2_lattice3(k7_lattice3(esk1_0))
| ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v1_lattice3(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v3_orders_2(k7_lattice3(esk2_0))
| ~ v3_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_911,c_0_912]),c_0_868]),c_0_890])]),c_0_904]) ).
cnf(c_0_914,plain,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v2_lattice3(k7_lattice3(esk2_0))
| ~ v2_lattice3(k7_lattice3(esk1_0))
| ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v1_lattice3(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v3_orders_2(k7_lattice3(esk2_0))
| ~ v3_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_912]),c_0_867]),c_0_889])]),c_0_903]) ).
cnf(c_0_915,plain,
( v2_lattice3(k7_lattice3(X1))
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
i_0_514 ).
cnf(c_0_916,plain,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v2_lattice3(k7_lattice3(esk1_0))
| ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v1_lattice3(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v3_orders_2(k7_lattice3(esk2_0))
| ~ v3_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_914,c_0_915]),c_0_868]),c_0_872])]) ).
cnf(c_0_917,plain,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v1_lattice3(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v3_orders_2(k7_lattice3(esk2_0))
| ~ v3_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_916,c_0_915]),c_0_867]),c_0_871])]) ).
cnf(c_0_918,plain,
( v1_lattice3(k7_lattice3(X1))
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
i_0_501 ).
cnf(c_0_919,plain,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v1_lattice3(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v3_orders_2(k7_lattice3(esk2_0))
| ~ v3_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_917,c_0_918]),c_0_868]),c_0_870])]) ).
cnf(c_0_920,plain,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v3_orders_2(k7_lattice3(esk2_0))
| ~ v3_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_919,c_0_918]),c_0_867]),c_0_869])]) ).
cnf(c_0_921,plain,
( v3_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1) ),
i_0_461 ).
cnf(c_0_922,plain,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v3_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_920,c_0_921]),c_0_868]),c_0_876])]) ).
cnf(c_0_923,plain,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_922,c_0_921]),c_0_867]),c_0_875])]) ).
cnf(c_0_924,plain,
( v4_orders_2(k7_lattice3(X1))
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) ),
i_0_477 ).
cnf(c_0_925,plain,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_923,c_0_924]),c_0_868]),c_0_874])]) ).
cnf(c_0_926,plain,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_925,c_0_924]),c_0_867]),c_0_873])]) ).
cnf(c_0_927,plain,
( v2_orders_2(k7_lattice3(X1))
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
i_0_439 ).
cnf(c_0_928,plain,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_926,c_0_927]),c_0_868]),c_0_878])]) ).
cnf(c_0_929,plain,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_928,c_0_927]),c_0_867]),c_0_877])]) ).
cnf(c_0_930,plain,
( l1_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1) ),
i_0_344 ).
cnf(c_0_931,plain,
~ l1_orders_2(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_929,c_0_930]),c_0_868])]) ).
cnf(c_0_932,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_931,c_0_930]),c_0_867])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LAT355+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 : n015.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 29 15:51:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 10.54/2.87 # ENIGMATIC: Solved by autoschedule:
% 10.54/2.87 # No SInE strategy applied
% 10.54/2.87 # Trying AutoSched0 for 150 seconds
% 10.54/2.87 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 10.54/2.87 # and selection function SelectCQIPrecWNTNp.
% 10.54/2.87 #
% 10.54/2.87 # Preprocessing time : 0.044 s
% 10.54/2.87 # Presaturation interreduction done
% 10.54/2.87
% 10.54/2.87 # Proof found!
% 10.54/2.87 # SZS status Theorem
% 10.54/2.87 # SZS output start CNFRefutation
% See solution above
% 10.54/2.87 # Training examples: 0 positive, 0 negative
% 10.54/2.87
% 10.54/2.87 # -------------------------------------------------
% 10.54/2.87 # User time : 0.390 s
% 10.54/2.87 # System time : 0.011 s
% 10.54/2.87 # Total time : 0.401 s
% 10.54/2.87 # Maximum resident set size: 7124 pages
% 10.54/2.87
%------------------------------------------------------------------------------