%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP653+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 : Sat Jul 16 08:39:58 EDT 2022
% Result : Theorem 7.51s 2.40s
% Output : CNFRefutation 7.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 23
% Syntax : Number of clauses : 56 ( 37 unt; 17 nHn; 56 RR)
% Number of literals : 202 ( 0 equ; 124 neg)
% Maximal clause size : 14 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_118,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_lattice4(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ m3_vectsp_8(X3,X2,X1)
| ~ m4_vectsp_8(X3,X2,X1)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_118) ).
cnf(i_0_56,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_1(X3)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ m4_vectsp_8(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_56) ).
cnf(i_0_55,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ m4_vectsp_8(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_55) ).
cnf(i_0_54,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ m4_vectsp_8(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_54) ).
cnf(i_0_123,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m3_vectsp_8(k3_latsubgr(X2,X1,X3),k11_group_4(X2),k11_group_4(X1))
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v2_funct_1(X3)
| ~ v1_group_6(X3,X2,X1)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_123) ).
cnf(i_0_3,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_3) ).
cnf(i_0_5,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_5) ).
cnf(i_0_4,negated_conjecture,
v1_group_6(esk3_0,esk1_0,esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_4) ).
cnf(i_0_2,negated_conjecture,
v2_funct_1(esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_2) ).
cnf(i_0_6,negated_conjecture,
v1_funct_1(esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_6) ).
cnf(i_0_11,negated_conjecture,
l1_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_11) ).
cnf(i_0_7,negated_conjecture,
l1_group_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_7) ).
cnf(i_0_12,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_12) ).
cnf(i_0_8,negated_conjecture,
v4_group_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_8) ).
cnf(i_0_13,negated_conjecture,
v3_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_13) ).
cnf(i_0_9,negated_conjecture,
v3_group_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_9) ).
cnf(i_0_14,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_14) ).
cnf(i_0_10,negated_conjecture,
~ v3_struct_0(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_10) ).
cnf(i_0_124,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m4_vectsp_8(k3_latsubgr(X2,X1,X3),k11_group_4(X2),k11_group_4(X1))
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_group_6(X3,X2,X1)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_124) ).
cnf(i_0_30,plain,
( v3_struct_0(X1)
| v10_lattices(k11_group_4(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_30) ).
cnf(i_0_29,plain,
( v3_struct_0(X1)
| l3_lattices(k11_group_4(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_29) ).
cnf(i_0_32,plain,
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_struct_0(k11_group_4(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_32) ).
cnf(i_0_1,negated_conjecture,
~ m1_lattice4(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(esk2_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8eu1jl8/input.p',i_0_1) ).
cnf(c_0_148,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_lattice4(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ m3_vectsp_8(X3,X2,X1)
| ~ m4_vectsp_8(X3,X2,X1)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
i_0_118 ).
cnf(c_0_149,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_1(X3)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ m4_vectsp_8(X3,X2,X1) ),
i_0_56 ).
cnf(c_0_150,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ m4_vectsp_8(X3,X2,X1) ),
i_0_55 ).
cnf(c_0_151,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ m4_vectsp_8(X3,X2,X1) ),
i_0_54 ).
cnf(c_0_152,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m3_vectsp_8(k3_latsubgr(X2,X1,X3),k11_group_4(X2),k11_group_4(X1))
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v2_funct_1(X3)
| ~ v1_group_6(X3,X2,X1)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
i_0_123 ).
cnf(c_0_153,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
i_0_3 ).
cnf(c_0_154,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
i_0_5 ).
cnf(c_0_155,negated_conjecture,
v1_group_6(esk3_0,esk1_0,esk2_0),
i_0_4 ).
cnf(c_0_156,negated_conjecture,
v2_funct_1(esk3_0),
i_0_2 ).
cnf(c_0_157,negated_conjecture,
v1_funct_1(esk3_0),
i_0_6 ).
cnf(c_0_158,negated_conjecture,
l1_group_1(esk1_0),
i_0_11 ).
cnf(c_0_159,negated_conjecture,
l1_group_1(esk2_0),
i_0_7 ).
cnf(c_0_160,negated_conjecture,
v4_group_1(esk1_0),
i_0_12 ).
cnf(c_0_161,negated_conjecture,
v4_group_1(esk2_0),
i_0_8 ).
cnf(c_0_162,negated_conjecture,
v3_group_1(esk1_0),
i_0_13 ).
cnf(c_0_163,negated_conjecture,
v3_group_1(esk2_0),
i_0_9 ).
cnf(c_0_164,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_14 ).
cnf(c_0_165,negated_conjecture,
~ v3_struct_0(esk2_0),
i_0_10 ).
cnf(c_0_166,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m4_vectsp_8(k3_latsubgr(X2,X1,X3),k11_group_4(X2),k11_group_4(X1))
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_group_6(X3,X2,X1)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
i_0_124 ).
cnf(c_0_167,plain,
( v3_struct_0(X1)
| v10_lattices(k11_group_4(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
i_0_30 ).
cnf(c_0_168,plain,
( v3_struct_0(X1)
| l3_lattices(k11_group_4(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
i_0_29 ).
cnf(c_0_169,plain,
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_struct_0(k11_group_4(X1)) ),
i_0_32 ).
cnf(c_0_170,plain,
( m1_lattice4(X1,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ m4_vectsp_8(X1,X2,X3)
| ~ m3_vectsp_8(X1,X2,X3)
| ~ v10_lattices(X2)
| ~ v10_lattices(X3)
| ~ l3_lattices(X2)
| ~ l3_lattices(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_148,c_0_149]),c_0_150]),c_0_151]) ).
cnf(c_0_171,negated_conjecture,
m3_vectsp_8(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(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(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]),c_0_155]),c_0_156]),c_0_157]),c_0_158]),c_0_159]),c_0_160]),c_0_161]),c_0_162]),c_0_163])]),c_0_164]),c_0_165]) ).
cnf(c_0_172,negated_conjecture,
m4_vectsp_8(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(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(spm,[status(thm)],[c_0_166,c_0_153]),c_0_154]),c_0_155]),c_0_157]),c_0_158]),c_0_159]),c_0_160]),c_0_161]),c_0_162]),c_0_163])]),c_0_164]),c_0_165]) ).
cnf(c_0_173,negated_conjecture,
v10_lattices(k11_group_4(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_158]),c_0_160]),c_0_162])]),c_0_164]) ).
cnf(c_0_174,negated_conjecture,
v10_lattices(k11_group_4(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_159]),c_0_161]),c_0_163])]),c_0_165]) ).
cnf(c_0_175,negated_conjecture,
l3_lattices(k11_group_4(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_158]),c_0_160]),c_0_162])]),c_0_164]) ).
cnf(c_0_176,negated_conjecture,
l3_lattices(k11_group_4(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_159]),c_0_161]),c_0_163])]),c_0_165]) ).
cnf(c_0_177,negated_conjecture,
~ m1_lattice4(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(esk2_0)),
i_0_1 ).
cnf(c_0_178,negated_conjecture,
~ v3_struct_0(k11_group_4(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_158]),c_0_160]),c_0_162])]),c_0_164]) ).
cnf(c_0_179,negated_conjecture,
~ v3_struct_0(k11_group_4(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_159]),c_0_161]),c_0_163])]),c_0_165]) ).
cnf(c_0_180,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]),c_0_173]),c_0_174]),c_0_175]),c_0_176])]),c_0_177]),c_0_178]),c_0_179]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP653+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jun 14 12:08:06 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.51/2.40 # ENIGMATIC: Solved by autoschedule:
% 7.51/2.40 # No SInE strategy applied
% 7.51/2.40 # Trying AutoSched0 for 150 seconds
% 7.51/2.40 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S079N
% 7.51/2.40 # and selection function SelectGrCQArEqFirst.
% 7.51/2.40 #
% 7.51/2.40 # Preprocessing time : 0.015 s
% 7.51/2.40 # Presaturation interreduction done
% 7.51/2.40
% 7.51/2.40 # Proof found!
% 7.51/2.40 # SZS status Theorem
% 7.51/2.40 # SZS output start CNFRefutation
% See solution above
% 7.51/2.40 # Training examples: 0 positive, 0 negative
% 7.51/2.40
% 7.51/2.40 # -------------------------------------------------
% 7.51/2.40 # User time : 0.037 s
% 7.51/2.40 # System time : 0.002 s
% 7.51/2.40 # Total time : 0.039 s
% 7.51/2.40 # Maximum resident set size: 7116 pages
% 7.51/2.40
%------------------------------------------------------------------------------