TSTP Solution File: LAT369+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT369+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 04:30:30 EDT 2022
% Result : Theorem 17.76s 5.84s
% Output : CNFRefutation 17.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 32
% Syntax : Number of clauses : 84 ( 46 unt; 20 nHn; 84 RR)
% Number of literals : 400 ( 6 equ; 292 neg)
% Maximal clause size : 20 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 88 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_59,plain,
( ~ l1_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ v1_lattice3(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_59) ).
cnf(i_0_6051,negated_conjecture,
v1_lattice3(esk728_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_6051) ).
cnf(i_0_6048,negated_conjecture,
l1_orders_2(esk728_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_6048) ).
cnf(i_0_3553,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_3553) ).
cnf(i_0_6044,negated_conjecture,
m2_relset_1(esk729_0,u1_struct_0(esk728_0),u1_struct_0(esk728_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_6044) ).
cnf(i_0_5406,plain,
( k2_waybel_1(X1,X2,X3) = X3
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ 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-epcgaklt/lgb.p',i_0_5406) ).
cnf(i_0_6047,negated_conjecture,
v1_funct_1(esk729_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_6047) ).
cnf(i_0_6046,negated_conjecture,
v1_funct_2(esk729_0,u1_struct_0(esk728_0),u1_struct_0(esk728_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_6046) ).
cnf(i_0_598,plain,
( v3_struct_0(X1)
| v6_waybel_1(X2,X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_598) ).
cnf(i_0_6045,negated_conjecture,
v7_waybel_1(esk729_0,esk728_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_6045) ).
cnf(i_0_1486,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_yellow_0(k2_yellow_2(X2,X1,X3),X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_1486) ).
cnf(i_0_1501,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_relset_1(k3_waybel_1(X2,X1,X3),u1_struct_0(k2_yellow_2(X2,X1,X3)),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_1501) ).
cnf(i_0_5853,plain,
( k1_waybel34(k2_yellow_2(X1,X1,X2),X1,k3_waybel_1(X1,X1,X2)) = k2_waybel_1(X1,X1,X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_funct_1(X2)
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_5853) ).
cnf(i_0_6050,negated_conjecture,
v2_lattice3(esk728_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_6050) ).
cnf(i_0_6052,negated_conjecture,
v4_orders_2(esk728_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_6052) ).
cnf(i_0_6053,negated_conjecture,
v3_orders_2(esk728_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_6053) ).
cnf(i_0_6049,negated_conjecture,
v3_lattice3(esk728_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_6049) ).
cnf(i_0_6054,negated_conjecture,
v2_orders_2(esk728_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_6054) ).
cnf(i_0_5855,plain,
( v17_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_funct_1(X2)
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_5855) ).
cnf(i_0_5968,plain,
( v22_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_funct_1(X2)
| ~ v7_waybel_1(X2,X1)
| ~ v4_waybel_0(k2_yellow_2(X1,X1,X2),X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_5968) ).
cnf(i_0_6043,negated_conjecture,
v4_waybel_0(k2_yellow_2(esk728_0,esk728_0,esk729_0),esk728_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_6043) ).
cnf(i_0_2509,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_1(k3_waybel_1(X2,X1,X3))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_2509) ).
cnf(i_0_1709,plain,
( v2_lattice3(k2_yellow_2(X1,X1,X2))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_funct_1(X2)
| ~ v6_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_1709) ).
cnf(i_0_1710,plain,
( v1_lattice3(k2_yellow_2(X1,X1,X2))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_funct_1(X2)
| ~ v6_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_1710) ).
cnf(i_0_1695,plain,
( v3_struct_0(X1)
| v4_orders_2(k2_yellow_2(X1,X1,X2))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v7_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_1695) ).
cnf(i_0_1696,plain,
( v3_struct_0(X1)
| v3_orders_2(k2_yellow_2(X1,X1,X2))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v7_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_1696) ).
cnf(i_0_6649,plain,
( v3_struct_0(X1)
| v3_lattice3(k2_yellow_2(X1,X1,X2))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v6_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_6649) ).
cnf(i_0_1697,plain,
( v3_struct_0(X1)
| v2_orders_2(k2_yellow_2(X1,X1,X2))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v7_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_1697) ).
cnf(i_0_1645,plain,
( l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ m1_yellow_0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_1645) ).
cnf(i_0_2506,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_2(k3_waybel_1(X2,X1,X3),u1_struct_0(k2_yellow_2(X2,X1,X3)),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_2506) ).
cnf(i_0_6042,negated_conjecture,
~ v1_waybel34(k2_waybel_1(esk728_0,esk728_0,esk729_0),esk728_0,k2_yellow_2(esk728_0,esk728_0,esk729_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epcgaklt/lgb.p',i_0_6042) ).
cnf(i_0_4875,plain,
( v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(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)
| ~ v1_funct_1(X3)
| ~ v22_waybel_0(X3,X1,X2)
| ~ v17_waybel_0(X3,X1,X2)
| ~ 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-epcgaklt/lgb.p',i_0_4875) ).
cnf(c_0_6682,plain,
( ~ l1_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ v1_lattice3(X1) ),
i_0_59 ).
cnf(c_0_6683,negated_conjecture,
v1_lattice3(esk728_0),
i_0_6051 ).
cnf(c_0_6684,negated_conjecture,
l1_orders_2(esk728_0),
i_0_6048 ).
cnf(c_0_6685,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_3553 ).
cnf(c_0_6686,negated_conjecture,
m2_relset_1(esk729_0,u1_struct_0(esk728_0),u1_struct_0(esk728_0)),
i_0_6044 ).
cnf(c_0_6687,plain,
( k2_waybel_1(X1,X2,X3) = X3
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ 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_5406 ).
cnf(c_0_6688,negated_conjecture,
v1_funct_1(esk729_0),
i_0_6047 ).
cnf(c_0_6689,negated_conjecture,
v1_funct_2(esk729_0,u1_struct_0(esk728_0),u1_struct_0(esk728_0)),
i_0_6046 ).
cnf(c_0_6690,negated_conjecture,
~ v3_struct_0(esk728_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6682,c_0_6683]),c_0_6684])]) ).
cnf(c_0_6691,plain,
( v3_struct_0(X1)
| v6_waybel_1(X2,X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_598 ).
cnf(c_0_6692,negated_conjecture,
v7_waybel_1(esk729_0,esk728_0),
i_0_6045 ).
cnf(c_0_6693,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_yellow_0(k2_yellow_2(X2,X1,X3),X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
i_0_1486 ).
cnf(c_0_6694,negated_conjecture,
m1_relset_1(esk729_0,u1_struct_0(esk728_0),u1_struct_0(esk728_0)),
inference(spm,[status(thm)],[c_0_6685,c_0_6686]) ).
cnf(c_0_6695,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_relset_1(k3_waybel_1(X2,X1,X3),u1_struct_0(k2_yellow_2(X2,X1,X3)),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
i_0_1501 ).
cnf(c_0_6696,plain,
( k1_waybel34(k2_yellow_2(X1,X1,X2),X1,k3_waybel_1(X1,X1,X2)) = k2_waybel_1(X1,X1,X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_funct_1(X2)
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_5853 ).
cnf(c_0_6697,negated_conjecture,
k2_waybel_1(esk728_0,esk728_0,esk729_0) = esk729_0,
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_6687,c_0_6686]),c_0_6688]),c_0_6684]),c_0_6689])]),c_0_6690]) ).
cnf(c_0_6698,negated_conjecture,
v2_lattice3(esk728_0),
i_0_6050 ).
cnf(c_0_6699,negated_conjecture,
v4_orders_2(esk728_0),
i_0_6052 ).
cnf(c_0_6700,negated_conjecture,
v3_orders_2(esk728_0),
i_0_6053 ).
cnf(c_0_6701,negated_conjecture,
v3_lattice3(esk728_0),
i_0_6049 ).
cnf(c_0_6702,negated_conjecture,
v2_orders_2(esk728_0),
i_0_6054 ).
cnf(c_0_6703,plain,
( v17_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_funct_1(X2)
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_5855 ).
cnf(c_0_6704,plain,
( v22_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_funct_1(X2)
| ~ v7_waybel_1(X2,X1)
| ~ v4_waybel_0(k2_yellow_2(X1,X1,X2),X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_5968 ).
cnf(c_0_6705,negated_conjecture,
v4_waybel_0(k2_yellow_2(esk728_0,esk728_0,esk729_0),esk728_0),
i_0_6043 ).
cnf(c_0_6706,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_1(k3_waybel_1(X2,X1,X3))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
i_0_2509 ).
cnf(c_0_6707,plain,
( v2_lattice3(k2_yellow_2(X1,X1,X2))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_funct_1(X2)
| ~ v6_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_1709 ).
cnf(c_0_6708,negated_conjecture,
v6_waybel_1(esk729_0,esk728_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_6691,c_0_6686]),c_0_6688]),c_0_6684]),c_0_6692]),c_0_6689])]),c_0_6690]) ).
cnf(c_0_6709,plain,
( v1_lattice3(k2_yellow_2(X1,X1,X2))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_funct_1(X2)
| ~ v6_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_1710 ).
cnf(c_0_6710,plain,
( v3_struct_0(X1)
| v4_orders_2(k2_yellow_2(X1,X1,X2))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v7_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_1695 ).
cnf(c_0_6711,plain,
( v3_struct_0(X1)
| v3_orders_2(k2_yellow_2(X1,X1,X2))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v7_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_1696 ).
cnf(c_0_6712,plain,
( v3_struct_0(X1)
| v3_lattice3(k2_yellow_2(X1,X1,X2))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v6_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_6649 ).
cnf(c_0_6713,plain,
( v3_struct_0(X1)
| v2_orders_2(k2_yellow_2(X1,X1,X2))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v7_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_1697 ).
cnf(c_0_6714,plain,
( l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ m1_yellow_0(X1,X2) ),
i_0_1645 ).
cnf(c_0_6715,negated_conjecture,
m1_yellow_0(k2_yellow_2(esk728_0,esk728_0,esk729_0),esk728_0),
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_6693,c_0_6694]),c_0_6688]),c_0_6684]),c_0_6689])]),c_0_6690]) ).
cnf(c_0_6716,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_2(k3_waybel_1(X2,X1,X3),u1_struct_0(k2_yellow_2(X2,X1,X3)),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
i_0_2506 ).
cnf(c_0_6717,negated_conjecture,
~ v1_waybel34(k2_waybel_1(esk728_0,esk728_0,esk729_0),esk728_0,k2_yellow_2(esk728_0,esk728_0,esk729_0)),
i_0_6042 ).
cnf(c_0_6718,plain,
( v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(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)
| ~ v1_funct_1(X3)
| ~ v22_waybel_0(X3,X1,X2)
| ~ v17_waybel_0(X3,X1,X2)
| ~ 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_4875 ).
cnf(c_0_6719,negated_conjecture,
m2_relset_1(k3_waybel_1(esk728_0,esk728_0,esk729_0),u1_struct_0(k2_yellow_2(esk728_0,esk728_0,esk729_0)),u1_struct_0(esk728_0)),
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_6695,c_0_6694]),c_0_6688]),c_0_6684]),c_0_6689])]),c_0_6690]) ).
cnf(c_0_6720,negated_conjecture,
k1_waybel34(k2_yellow_2(esk728_0,esk728_0,esk729_0),esk728_0,k3_waybel_1(esk728_0,esk728_0,esk729_0)) = esk729_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(spm,[status(thm)],[c_0_6696,c_0_6686]),c_0_6697]),c_0_6688]),c_0_6698]),c_0_6683]),c_0_6699]),c_0_6700]),c_0_6701]),c_0_6702]),c_0_6684]),c_0_6692]),c_0_6689])]) ).
cnf(c_0_6721,negated_conjecture,
v17_waybel_0(k3_waybel_1(esk728_0,esk728_0,esk729_0),k2_yellow_2(esk728_0,esk728_0,esk729_0),esk728_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(spm,[status(thm)],[c_0_6703,c_0_6686]),c_0_6688]),c_0_6698]),c_0_6683]),c_0_6699]),c_0_6700]),c_0_6701]),c_0_6702]),c_0_6684]),c_0_6692]),c_0_6689])]) ).
cnf(c_0_6722,negated_conjecture,
v22_waybel_0(k3_waybel_1(esk728_0,esk728_0,esk729_0),k2_yellow_2(esk728_0,esk728_0,esk729_0),esk728_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(spm,[status(thm)],[c_0_6704,c_0_6686]),c_0_6688]),c_0_6698]),c_0_6683]),c_0_6699]),c_0_6700]),c_0_6701]),c_0_6702]),c_0_6684]),c_0_6692]),c_0_6689]),c_0_6705])]) ).
cnf(c_0_6723,negated_conjecture,
v1_funct_1(k3_waybel_1(esk728_0,esk728_0,esk729_0)),
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_6706,c_0_6694]),c_0_6688]),c_0_6684]),c_0_6689])]),c_0_6690]) ).
cnf(c_0_6724,negated_conjecture,
v2_lattice3(k2_yellow_2(esk728_0,esk728_0,esk729_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(spm,[status(thm)],[c_0_6707,c_0_6694]),c_0_6708]),c_0_6688]),c_0_6698]),c_0_6683]),c_0_6699]),c_0_6700]),c_0_6701]),c_0_6702]),c_0_6684]),c_0_6689])]) ).
cnf(c_0_6725,negated_conjecture,
v1_lattice3(k2_yellow_2(esk728_0,esk728_0,esk729_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(spm,[status(thm)],[c_0_6709,c_0_6694]),c_0_6708]),c_0_6688]),c_0_6698]),c_0_6683]),c_0_6699]),c_0_6700]),c_0_6701]),c_0_6702]),c_0_6684]),c_0_6689])]) ).
cnf(c_0_6726,negated_conjecture,
v4_orders_2(k2_yellow_2(esk728_0,esk728_0,esk729_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_6710,c_0_6694]),c_0_6688]),c_0_6699]),c_0_6700]),c_0_6702]),c_0_6684]),c_0_6692]),c_0_6689])]),c_0_6690]) ).
cnf(c_0_6727,negated_conjecture,
v3_orders_2(k2_yellow_2(esk728_0,esk728_0,esk729_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_6711,c_0_6694]),c_0_6688]),c_0_6699]),c_0_6700]),c_0_6702]),c_0_6684]),c_0_6692]),c_0_6689])]),c_0_6690]) ).
cnf(c_0_6728,negated_conjecture,
v3_lattice3(k2_yellow_2(esk728_0,esk728_0,esk729_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(spm,[status(thm)],[c_0_6712,c_0_6686]),c_0_6708]),c_0_6688]),c_0_6699]),c_0_6700]),c_0_6701]),c_0_6702]),c_0_6684]),c_0_6689])]),c_0_6690]) ).
cnf(c_0_6729,negated_conjecture,
v2_orders_2(k2_yellow_2(esk728_0,esk728_0,esk729_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_6713,c_0_6694]),c_0_6688]),c_0_6699]),c_0_6700]),c_0_6702]),c_0_6684]),c_0_6692]),c_0_6689])]),c_0_6690]) ).
cnf(c_0_6730,plain,
l1_orders_2(k2_yellow_2(esk728_0,esk728_0,esk729_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6714,c_0_6715]),c_0_6684])]) ).
cnf(c_0_6731,negated_conjecture,
v1_funct_2(k3_waybel_1(esk728_0,esk728_0,esk729_0),u1_struct_0(k2_yellow_2(esk728_0,esk728_0,esk729_0)),u1_struct_0(esk728_0)),
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_6716,c_0_6694]),c_0_6688]),c_0_6684]),c_0_6689])]),c_0_6690]) ).
cnf(c_0_6732,negated_conjecture,
~ v1_waybel34(esk729_0,esk728_0,k2_yellow_2(esk728_0,esk728_0,esk729_0)),
inference(rw,[status(thm)],[c_0_6717,c_0_6697]) ).
cnf(c_0_6733,negated_conjecture,
$false,
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6718,c_0_6719]),c_0_6720]),c_0_6721]),c_0_6722]),c_0_6723]),c_0_6698]),c_0_6724]),c_0_6683]),c_0_6725]),c_0_6699]),c_0_6726]),c_0_6700]),c_0_6727]),c_0_6701]),c_0_6728]),c_0_6702]),c_0_6729]),c_0_6684]),c_0_6730]),c_0_6731])]),c_0_6732]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT369+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n005.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 : Thu Jun 30 15:36:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.66/0.84 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/0.84 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.66/0.84 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.66/0.84 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 17.76/5.84 # ENIGMATIC: Solved by autoschedule-lgb:
% 17.76/5.84 # No SInE strategy applied
% 17.76/5.84 # Trying AutoSched0 for 149 seconds
% 17.76/5.84 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 17.76/5.84 # and selection function SelectCQArNTNpEqFirst.
% 17.76/5.84 #
% 17.76/5.84 # Preprocessing time : 0.051 s
% 17.76/5.84 # Presaturation interreduction done
% 17.76/5.84
% 17.76/5.84 # Proof found!
% 17.76/5.84 # SZS status Theorem
% 17.76/5.84 # SZS output start CNFRefutation
% See solution above
% 17.76/5.84 # Training examples: 0 positive, 0 negative
% 17.76/5.84
% 17.76/5.84 # -------------------------------------------------
% 17.76/5.84 # User time : 0.871 s
% 17.76/5.84 # System time : 0.026 s
% 17.76/5.84 # Total time : 0.897 s
% 17.76/5.84 # Maximum resident set size: 7124 pages
% 17.76/5.84
%------------------------------------------------------------------------------