%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT369+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.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 04:30:29 EDT 2022
% Result : Theorem 7.83s 2.53s
% Output : CNFRefutation 7.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 33
% Syntax : Number of clauses : 86 ( 36 unt; 24 nHn; 86 RR)
% Number of literals : 493 ( 2 equ; 384 neg)
% Maximal clause size : 23 ( 5 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 : 99 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_564,plain,
( v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1)
| ~ 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)
| ~ 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-mgum_1kd/lgb.p',i_0_564) ).
cnf(i_0_568,plain,
( v17_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(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-mgum_1kd/lgb.p',i_0_568) ).
cnf(i_0_228,plain,
( v3_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v6_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_228) ).
cnf(i_0_140,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))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_140) ).
cnf(i_0_106,plain,
( v1_lattice3(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_106) ).
cnf(i_0_105,plain,
( v2_lattice3(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_105) ).
cnf(i_0_561,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_561) ).
cnf(i_0_3,negated_conjecture,
m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_3) ).
cnf(i_0_80,plain,
( ~ v1_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v3_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_80) ).
cnf(i_0_10,negated_conjecture,
v1_lattice3(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_10) ).
cnf(i_0_7,negated_conjecture,
l1_orders_2(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_7) ).
cnf(i_0_229,plain,
( v2_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v6_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_229) ).
cnf(i_0_230,plain,
( v1_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v6_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_230) ).
cnf(i_0_566,plain,
( k1_waybel34(k2_yellow_2(X1,X1,X2),X1,k3_waybel_1(X1,X1,X2)) = k2_waybel_1(X1,X1,X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(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-mgum_1kd/lgb.p',i_0_566) ).
cnf(i_0_4,negated_conjecture,
v7_waybel_1(esk2_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_4) ).
cnf(i_0_6,negated_conjecture,
v1_funct_1(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_6) ).
cnf(i_0_8,negated_conjecture,
v3_lattice3(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_8) ).
cnf(i_0_11,negated_conjecture,
v4_orders_2(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_11) ).
cnf(i_0_12,negated_conjecture,
v3_orders_2(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_12) ).
cnf(i_0_13,negated_conjecture,
v2_orders_2(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_13) ).
cnf(i_0_5,negated_conjecture,
v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_5) ).
cnf(i_0_223,plain,
( v3_struct_0(X1)
| v4_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(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))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_223) ).
cnf(i_0_224,plain,
( v3_struct_0(X1)
| v3_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(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))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_224) ).
cnf(i_0_225,plain,
( v3_struct_0(X1)
| v2_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(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))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_225) ).
cnf(i_0_1,negated_conjecture,
~ v1_waybel34(k2_waybel_1(esk1_0,esk1_0,esk2_0),esk1_0,k2_yellow_2(esk1_0,esk1_0,esk2_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_1) ).
cnf(i_0_9,negated_conjecture,
v2_lattice3(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_9) ).
cnf(i_0_573,plain,
( v22_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(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-mgum_1kd/lgb.p',i_0_573) ).
cnf(i_0_2,negated_conjecture,
v4_waybel_0(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_2) ).
cnf(i_0_198,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)
| ~ 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-mgum_1kd/lgb.p',i_0_198) ).
cnf(i_0_368,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)
| ~ 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-mgum_1kd/lgb.p',i_0_368) ).
cnf(i_0_371,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)
| ~ 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-mgum_1kd/lgb.p',i_0_371) ).
cnf(i_0_209,plain,
( l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ m1_yellow_0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mgum_1kd/lgb.p',i_0_209) ).
cnf(i_0_194,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)
| ~ 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-mgum_1kd/lgb.p',i_0_194) ).
cnf(c_0_607,plain,
( v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1)
| ~ 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)
| ~ 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_564 ).
cnf(c_0_608,plain,
( v17_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(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_568 ).
cnf(c_0_609,plain,
( v3_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v6_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_228 ).
cnf(c_0_610,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))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_140 ).
cnf(c_0_611,plain,
( v1_lattice3(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
i_0_106 ).
cnf(c_0_612,plain,
( v2_lattice3(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
i_0_105 ).
cnf(c_0_613,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_561 ).
cnf(c_0_614,negated_conjecture,
m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
i_0_3 ).
cnf(c_0_615,plain,
( ~ v1_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v3_struct_0(X1) ),
i_0_80 ).
cnf(c_0_616,negated_conjecture,
v1_lattice3(esk1_0),
i_0_10 ).
cnf(c_0_617,negated_conjecture,
l1_orders_2(esk1_0),
i_0_7 ).
cnf(c_0_618,plain,
( v2_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v6_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_229 ).
cnf(c_0_619,plain,
( v1_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v6_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_230 ).
cnf(c_0_620,plain,
( v1_waybel34(k1_waybel34(k2_yellow_2(X1,X1,X2),X1,k3_waybel_1(X1,X1,X2)),X1,k2_yellow_2(X1,X1,X2))
| ~ v22_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
| ~ v1_funct_1(k3_waybel_1(X1,X1,X2))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(k2_yellow_2(X1,X1,X2))
| ~ l1_orders_2(X1)
| ~ v3_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v3_lattice3(X1)
| ~ v2_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v2_lattice3(X1)
| ~ v1_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v1_lattice3(X1)
| ~ v4_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v7_waybel_1(X2,X1)
| ~ m2_relset_1(k3_waybel_1(X1,X1,X2),u1_struct_0(k2_yellow_2(X1,X1,X2)),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(k3_waybel_1(X1,X1,X2),u1_struct_0(k2_yellow_2(X1,X1,X2)),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_607,c_0_608]) ).
cnf(c_0_621,plain,
( k1_waybel34(k2_yellow_2(X1,X1,X2),X1,k3_waybel_1(X1,X1,X2)) = k2_waybel_1(X1,X1,X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(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_566 ).
cnf(c_0_622,plain,
( v3_struct_0(X1)
| v3_lattice3(k2_yellow_2(X1,X1,X2))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_610]),c_0_611]),c_0_612]) ).
cnf(c_0_623,negated_conjecture,
v7_waybel_1(esk2_0,esk1_0),
i_0_4 ).
cnf(c_0_624,negated_conjecture,
m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_613,c_0_614]) ).
cnf(c_0_625,negated_conjecture,
v1_funct_1(esk2_0),
i_0_6 ).
cnf(c_0_626,negated_conjecture,
v3_lattice3(esk1_0),
i_0_8 ).
cnf(c_0_627,negated_conjecture,
v4_orders_2(esk1_0),
i_0_11 ).
cnf(c_0_628,negated_conjecture,
v3_orders_2(esk1_0),
i_0_12 ).
cnf(c_0_629,negated_conjecture,
v2_orders_2(esk1_0),
i_0_13 ).
cnf(c_0_630,negated_conjecture,
v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
i_0_5 ).
cnf(c_0_631,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_615,c_0_616]),c_0_617])]) ).
cnf(c_0_632,plain,
( v3_struct_0(X1)
| v2_lattice3(k2_yellow_2(X1,X1,X2))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_618,c_0_610]),c_0_611]),c_0_612]) ).
cnf(c_0_633,plain,
( v3_struct_0(X1)
| v1_lattice3(k2_yellow_2(X1,X1,X2))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_619,c_0_610]),c_0_611]),c_0_612]) ).
cnf(c_0_634,plain,
( v3_struct_0(X1)
| v4_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(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))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_223 ).
cnf(c_0_635,plain,
( v3_struct_0(X1)
| v3_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(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))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_224 ).
cnf(c_0_636,plain,
( v3_struct_0(X1)
| v2_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(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))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_225 ).
cnf(c_0_637,negated_conjecture,
~ v1_waybel34(k2_waybel_1(esk1_0,esk1_0,esk2_0),esk1_0,k2_yellow_2(esk1_0,esk1_0,esk2_0)),
i_0_1 ).
cnf(c_0_638,plain,
( v1_waybel34(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2))
| ~ v22_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
| ~ v1_funct_1(k3_waybel_1(X1,X1,X2))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(k2_yellow_2(X1,X1,X2))
| ~ l1_orders_2(X1)
| ~ v3_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v3_lattice3(X1)
| ~ v2_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v2_lattice3(X1)
| ~ v1_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v1_lattice3(X1)
| ~ v4_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v7_waybel_1(X2,X1)
| ~ m2_relset_1(k3_waybel_1(X1,X1,X2),u1_struct_0(k2_yellow_2(X1,X1,X2)),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(k3_waybel_1(X1,X1,X2),u1_struct_0(k2_yellow_2(X1,X1,X2)),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_620,c_0_621]) ).
cnf(c_0_639,negated_conjecture,
v3_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_623]),c_0_624]),c_0_625]),c_0_617]),c_0_626]),c_0_627]),c_0_628]),c_0_629]),c_0_630])]),c_0_631]) ).
cnf(c_0_640,negated_conjecture,
v2_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_632,c_0_623]),c_0_624]),c_0_625]),c_0_617]),c_0_626]),c_0_627]),c_0_628]),c_0_629]),c_0_630])]),c_0_631]) ).
cnf(c_0_641,negated_conjecture,
v2_lattice3(esk1_0),
i_0_9 ).
cnf(c_0_642,negated_conjecture,
v1_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_633,c_0_623]),c_0_624]),c_0_625]),c_0_617]),c_0_626]),c_0_627]),c_0_628]),c_0_629]),c_0_630])]),c_0_631]) ).
cnf(c_0_643,negated_conjecture,
v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_623]),c_0_624]),c_0_625]),c_0_617]),c_0_627]),c_0_628]),c_0_629]),c_0_630])]),c_0_631]) ).
cnf(c_0_644,negated_conjecture,
v3_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_635,c_0_623]),c_0_624]),c_0_625]),c_0_617]),c_0_627]),c_0_628]),c_0_629]),c_0_630])]),c_0_631]) ).
cnf(c_0_645,negated_conjecture,
v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_636,c_0_623]),c_0_624]),c_0_625]),c_0_617]),c_0_627]),c_0_628]),c_0_629]),c_0_630])]),c_0_631]) ).
cnf(c_0_646,negated_conjecture,
( ~ v22_waybel_0(k3_waybel_1(esk1_0,esk1_0,esk2_0),k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0)
| ~ v1_funct_1(k3_waybel_1(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ m2_relset_1(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_637,c_0_638]),c_0_625]),c_0_617]),c_0_639]),c_0_626]),c_0_640]),c_0_641]),c_0_642]),c_0_616]),c_0_643]),c_0_627]),c_0_644]),c_0_628]),c_0_645]),c_0_629]),c_0_623]),c_0_614]),c_0_630])]) ).
cnf(c_0_647,plain,
( v22_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(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_573 ).
cnf(c_0_648,negated_conjecture,
v4_waybel_0(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0),
i_0_2 ).
cnf(c_0_649,plain,
( ~ v1_funct_1(k3_waybel_1(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ m2_relset_1(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_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(spm,[status(thm)],[c_0_646,c_0_647]),c_0_625]),c_0_617]),c_0_626]),c_0_641]),c_0_616]),c_0_627]),c_0_628]),c_0_629]),c_0_623]),c_0_614]),c_0_630]),c_0_648])]) ).
cnf(c_0_650,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)
| ~ 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_198 ).
cnf(c_0_651,plain,
( ~ v1_funct_1(k3_waybel_1(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0))
| ~ v1_funct_2(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(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(spm,[status(thm)],[c_0_649,c_0_650]),c_0_624]),c_0_625]),c_0_617]),c_0_630])]),c_0_631]) ).
cnf(c_0_652,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)
| ~ 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_368 ).
cnf(c_0_653,plain,
( ~ v1_funct_1(k3_waybel_1(esk1_0,esk1_0,esk2_0))
| ~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_651,c_0_652]),c_0_624]),c_0_625]),c_0_617]),c_0_630])]),c_0_631]) ).
cnf(c_0_654,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)
| ~ 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_371 ).
cnf(c_0_655,plain,
( l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ m1_yellow_0(X1,X2) ),
i_0_209 ).
cnf(c_0_656,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)
| ~ 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_194 ).
cnf(c_0_657,plain,
~ l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_653,c_0_654]),c_0_624]),c_0_625]),c_0_617]),c_0_630])]),c_0_631]) ).
cnf(c_0_658,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| l1_orders_2(k2_yellow_2(X2,X1,X3))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_655,c_0_656]) ).
cnf(c_0_659,plain,
$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(spm,[status(thm)],[c_0_657,c_0_658]),c_0_624]),c_0_625]),c_0_617]),c_0_630])]),c_0_631]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT369+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 23:15:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected complete mode:
% 7.83/2.53 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.83/2.53 # No SInE strategy applied
% 7.83/2.53 # Trying AutoSched0 for 150 seconds
% 7.83/2.53 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S0Y
% 7.83/2.53 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.83/2.53 #
% 7.83/2.53 # Preprocessing time : 0.017 s
% 7.83/2.53 # Presaturation interreduction done
% 7.83/2.53
% 7.83/2.53 # Proof found!
% 7.83/2.53 # SZS status Theorem
% 7.83/2.53 # SZS output start CNFRefutation
% See solution above
% 7.83/2.54 # Training examples: 0 positive, 0 negative
% 7.83/2.54
% 7.83/2.54 # -------------------------------------------------
% 7.83/2.54 # User time : 0.048 s
% 7.83/2.54 # System time : 0.005 s
% 7.83/2.54 # Total time : 0.053 s
% 7.83/2.54 # Maximum resident set size: 7128 pages
% 7.83/2.54
%------------------------------------------------------------------------------