TSTP Solution File: GRP653+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP653+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 08:39:59 EDT 2022
% Result : Theorem 12.13s 5.29s
% Output : CNFRefutation 12.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 23
% Syntax : Number of clauses : 57 ( 36 unt; 19 nHn; 57 RR)
% Number of literals : 206 ( 0 equ; 123 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_2111,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_lattice4(X3,X2,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v1_funct_1(X3)
| ~ 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-fzri4yh1/lgb.p',i_0_2111) ).
cnf(i_0_1081,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)
| ~ m3_vectsp_8(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_1081) ).
cnf(i_0_1080,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)
| ~ m3_vectsp_8(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_1080) ).
cnf(i_0_1082,plain,
( v1_funct_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ l3_lattices(X2)
| ~ l3_lattices(X3)
| ~ v10_lattices(X2)
| ~ v10_lattices(X3)
| ~ m3_vectsp_8(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_1082) ).
cnf(i_0_3769,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))
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ 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-fzri4yh1/lgb.p',i_0_3769) ).
cnf(i_0_3798,negated_conjecture,
m2_relset_1(esk568_0,u1_struct_0(esk566_0),u1_struct_0(esk567_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_3798) ).
cnf(i_0_3807,negated_conjecture,
v4_group_1(esk566_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_3807) ).
cnf(i_0_3803,negated_conjecture,
v4_group_1(esk567_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_3803) ).
cnf(i_0_3808,negated_conjecture,
v3_group_1(esk566_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_3808) ).
cnf(i_0_3804,negated_conjecture,
v3_group_1(esk567_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_3804) ).
cnf(i_0_3801,negated_conjecture,
v1_funct_1(esk568_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_3801) ).
cnf(i_0_3806,negated_conjecture,
l1_group_1(esk566_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_3806) ).
cnf(i_0_3802,negated_conjecture,
l1_group_1(esk567_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_3802) ).
cnf(i_0_3799,negated_conjecture,
v1_group_6(esk568_0,esk566_0,esk567_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_3799) ).
cnf(i_0_3800,negated_conjecture,
v1_funct_2(esk568_0,u1_struct_0(esk566_0),u1_struct_0(esk567_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_3800) ).
cnf(i_0_3809,negated_conjecture,
~ v3_struct_0(esk566_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_3809) ).
cnf(i_0_3805,negated_conjecture,
~ v3_struct_0(esk567_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_3805) ).
cnf(i_0_928,plain,
( v3_struct_0(X1)
| v10_lattices(k11_group_4(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_928) ).
cnf(i_0_927,plain,
( v3_struct_0(X1)
| l3_lattices(k11_group_4(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_927) ).
cnf(i_0_3796,negated_conjecture,
~ m1_lattice4(k3_latsubgr(esk566_0,esk567_0,esk568_0),k11_group_4(esk566_0),k11_group_4(esk567_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_3796) ).
cnf(i_0_3726,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))
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ 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-fzri4yh1/lgb.p',i_0_3726) ).
cnf(i_0_3797,negated_conjecture,
v2_funct_1(esk568_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_3797) ).
cnf(i_0_930,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_struct_0(k11_group_4(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzri4yh1/lgb.p',i_0_930) ).
cnf(c_0_3833,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_lattice4(X3,X2,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v1_funct_1(X3)
| ~ 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_2111 ).
cnf(c_0_3834,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)
| ~ m3_vectsp_8(X3,X2,X1) ),
i_0_1081 ).
cnf(c_0_3835,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)
| ~ m3_vectsp_8(X3,X2,X1) ),
i_0_1080 ).
cnf(c_0_3836,plain,
( v1_funct_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ l3_lattices(X2)
| ~ l3_lattices(X3)
| ~ v10_lattices(X2)
| ~ v10_lattices(X3)
| ~ m3_vectsp_8(X1,X3,X2) ),
i_0_1082 ).
cnf(c_0_3837,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))
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ 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_3769 ).
cnf(c_0_3838,negated_conjecture,
m2_relset_1(esk568_0,u1_struct_0(esk566_0),u1_struct_0(esk567_0)),
i_0_3798 ).
cnf(c_0_3839,negated_conjecture,
v4_group_1(esk566_0),
i_0_3807 ).
cnf(c_0_3840,negated_conjecture,
v4_group_1(esk567_0),
i_0_3803 ).
cnf(c_0_3841,negated_conjecture,
v3_group_1(esk566_0),
i_0_3808 ).
cnf(c_0_3842,negated_conjecture,
v3_group_1(esk567_0),
i_0_3804 ).
cnf(c_0_3843,negated_conjecture,
v1_funct_1(esk568_0),
i_0_3801 ).
cnf(c_0_3844,negated_conjecture,
l1_group_1(esk566_0),
i_0_3806 ).
cnf(c_0_3845,negated_conjecture,
l1_group_1(esk567_0),
i_0_3802 ).
cnf(c_0_3846,negated_conjecture,
v1_group_6(esk568_0,esk566_0,esk567_0),
i_0_3799 ).
cnf(c_0_3847,negated_conjecture,
v1_funct_2(esk568_0,u1_struct_0(esk566_0),u1_struct_0(esk567_0)),
i_0_3800 ).
cnf(c_0_3848,negated_conjecture,
~ v3_struct_0(esk566_0),
i_0_3809 ).
cnf(c_0_3849,negated_conjecture,
~ v3_struct_0(esk567_0),
i_0_3805 ).
cnf(c_0_3850,plain,
( v3_struct_0(X1)
| v10_lattices(k11_group_4(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_928 ).
cnf(c_0_3851,plain,
( v3_struct_0(X1)
| l3_lattices(k11_group_4(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_927 ).
cnf(c_0_3852,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_lattice4(X3,X2,X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ m4_vectsp_8(X3,X2,X1)
| ~ m3_vectsp_8(X3,X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_3833,c_0_3834]),c_0_3835]),c_0_3836]) ).
cnf(c_0_3853,negated_conjecture,
m4_vectsp_8(k3_latsubgr(esk566_0,esk567_0,esk568_0),k11_group_4(esk566_0),k11_group_4(esk567_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_3837,c_0_3838]),c_0_3839]),c_0_3840]),c_0_3841]),c_0_3842]),c_0_3843]),c_0_3844]),c_0_3845]),c_0_3846]),c_0_3847])]),c_0_3848]),c_0_3849]) ).
cnf(c_0_3854,negated_conjecture,
v10_lattices(k11_group_4(esk566_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3850,c_0_3839]),c_0_3841]),c_0_3844])]),c_0_3848]) ).
cnf(c_0_3855,negated_conjecture,
v10_lattices(k11_group_4(esk567_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3850,c_0_3840]),c_0_3842]),c_0_3845])]),c_0_3849]) ).
cnf(c_0_3856,negated_conjecture,
l3_lattices(k11_group_4(esk566_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3851,c_0_3839]),c_0_3841]),c_0_3844])]),c_0_3848]) ).
cnf(c_0_3857,negated_conjecture,
l3_lattices(k11_group_4(esk567_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3851,c_0_3840]),c_0_3842]),c_0_3845])]),c_0_3849]) ).
cnf(c_0_3858,negated_conjecture,
~ m1_lattice4(k3_latsubgr(esk566_0,esk567_0,esk568_0),k11_group_4(esk566_0),k11_group_4(esk567_0)),
i_0_3796 ).
cnf(c_0_3859,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))
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ 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_3726 ).
cnf(c_0_3860,negated_conjecture,
v2_funct_1(esk568_0),
i_0_3797 ).
cnf(c_0_3861,plain,
( v3_struct_0(k11_group_4(esk567_0))
| v3_struct_0(k11_group_4(esk566_0))
| ~ m3_vectsp_8(k3_latsubgr(esk566_0,esk567_0,esk568_0),k11_group_4(esk566_0),k11_group_4(esk567_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_3852,c_0_3853]),c_0_3854]),c_0_3855]),c_0_3856]),c_0_3857])]),c_0_3858]) ).
cnf(c_0_3862,negated_conjecture,
m3_vectsp_8(k3_latsubgr(esk566_0,esk567_0,esk568_0),k11_group_4(esk566_0),k11_group_4(esk567_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_3859,c_0_3838]),c_0_3860]),c_0_3839]),c_0_3840]),c_0_3841]),c_0_3842]),c_0_3843]),c_0_3844]),c_0_3845]),c_0_3846]),c_0_3847])]),c_0_3848]),c_0_3849]) ).
cnf(c_0_3863,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_struct_0(k11_group_4(X1)) ),
i_0_930 ).
cnf(c_0_3864,plain,
( v3_struct_0(k11_group_4(esk566_0))
| v3_struct_0(k11_group_4(esk567_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3861,c_0_3862])]) ).
cnf(c_0_3865,plain,
v3_struct_0(k11_group_4(esk566_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_3863,c_0_3864]),c_0_3840]),c_0_3842]),c_0_3845])]),c_0_3849]) ).
cnf(c_0_3866,plain,
$false,
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_3863,c_0_3865]),c_0_3839]),c_0_3841]),c_0_3844])]),c_0_3848]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP653+3 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n006.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 : Tue Jun 14 08:36:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.74/0.95 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.74/0.95 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.74/0.95 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.74/0.95 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 12.13/5.29 # ENIGMATIC: Solved by autoschedule-lgb:
% 12.13/5.29 # No SInE strategy applied
% 12.13/5.29 # Trying AutoSched0 for 149 seconds
% 12.13/5.29 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 12.13/5.29 # and selection function PSelectComplexExceptUniqMaxHorn.
% 12.13/5.29 #
% 12.13/5.29 # Preprocessing time : 0.018 s
% 12.13/5.29 # Presaturation interreduction done
% 12.13/5.29
% 12.13/5.29 # Proof found!
% 12.13/5.29 # SZS status Theorem
% 12.13/5.29 # SZS output start CNFRefutation
% See solution above
% 12.13/5.29 # Training examples: 0 positive, 0 negative
% 12.13/5.29
% 12.13/5.29 # -------------------------------------------------
% 12.13/5.29 # User time : 0.072 s
% 12.13/5.29 # System time : 0.007 s
% 12.13/5.29 # Total time : 0.079 s
% 12.13/5.29 # Maximum resident set size: 7124 pages
% 12.13/5.29
%------------------------------------------------------------------------------