TSTP Solution File: LAT323+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT323+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n016.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 04:29:37 EDT 2022
% Result : Theorem 52.49s 9.65s
% Output : CNFRefutation 52.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of clauses : 56 ( 24 unt; 22 nHn; 56 RR)
% Number of literals : 188 ( 11 equ; 110 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 60 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1038,plain,
( v3_struct_0(X1)
| m1_subset_1(k7_lattices(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_1038) ).
cnf(i_0_4533,negated_conjecture,
m1_subset_1(esk657_0,u1_struct_0(esk655_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_4533) ).
cnf(i_0_4536,negated_conjecture,
l3_lattices(esk655_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_4536) ).
cnf(i_0_4539,negated_conjecture,
~ v3_struct_0(esk655_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_4539) ).
cnf(i_0_4161,plain,
( k7_lattices(X1,k7_lattices(X1,X2)) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_4161) ).
cnf(i_0_4537,negated_conjecture,
v17_lattices(esk655_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_4537) ).
cnf(i_0_4538,negated_conjecture,
v10_lattices(esk655_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_4538) ).
cnf(i_0_4483,plain,
( v3_struct_0(X1)
| r2_hidden(X2,X3)
| r2_hidden(k7_lattices(X1,X2),X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m2_filter_2(X3,X1)
| ~ r2_filter_2(X1,X3)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_4483) ).
cnf(i_0_228,plain,
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X2,X3),X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X4)
| ~ m2_lattice4(X4,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_228) ).
cnf(i_0_4237,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_4237) ).
cnf(i_0_1100,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_1100) ).
cnf(i_0_1095,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_1095) ).
cnf(i_0_4535,negated_conjecture,
m2_filter_2(esk656_0,esk655_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_4535) ).
cnf(i_0_4534,negated_conjecture,
r2_filter_2(esk655_0,esk656_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_4534) ).
cnf(i_0_4532,negated_conjecture,
( r2_hidden(k7_lattices(esk655_0,esk657_0),esk656_0)
| ~ r2_hidden(esk657_0,esk656_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_4532) ).
cnf(i_0_4121,plain,
( k3_lattices(X1,k7_lattices(X1,X2),X2) = k6_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_4121) ).
cnf(i_0_4531,negated_conjecture,
( r2_hidden(esk657_0,esk656_0)
| ~ r2_hidden(k7_lattices(esk655_0,esk657_0),esk656_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_4531) ).
cnf(i_0_151,plain,
( v3_struct_0(X1)
| v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_151) ).
cnf(i_0_222,plain,
( v3_struct_0(X1)
| X2 != u1_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ r2_filter_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_222) ).
cnf(i_0_3213,plain,
( v3_struct_0(X1)
| m2_filter_2(u1_struct_0(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_3213) ).
cnf(i_0_3943,plain,
( X1 = u1_struct_0(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v14_lattices(X2)
| ~ m2_filter_2(X1,X2)
| ~ r2_hidden(k6_lattices(X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9qqntklu/lgb.p',i_0_3943) ).
cnf(c_0_4561,plain,
( v3_struct_0(X1)
| m1_subset_1(k7_lattices(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_1038 ).
cnf(c_0_4562,negated_conjecture,
m1_subset_1(esk657_0,u1_struct_0(esk655_0)),
i_0_4533 ).
cnf(c_0_4563,negated_conjecture,
l3_lattices(esk655_0),
i_0_4536 ).
cnf(c_0_4564,negated_conjecture,
~ v3_struct_0(esk655_0),
i_0_4539 ).
cnf(c_0_4565,plain,
( k7_lattices(X1,k7_lattices(X1,X2)) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_4161 ).
cnf(c_0_4566,negated_conjecture,
v17_lattices(esk655_0),
i_0_4537 ).
cnf(c_0_4567,negated_conjecture,
v10_lattices(esk655_0),
i_0_4538 ).
cnf(c_0_4568,plain,
( v3_struct_0(X1)
| r2_hidden(X2,X3)
| r2_hidden(k7_lattices(X1,X2),X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m2_filter_2(X3,X1)
| ~ r2_filter_2(X1,X3)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_4483 ).
cnf(c_0_4569,negated_conjecture,
m1_subset_1(k7_lattices(esk655_0,esk657_0),u1_struct_0(esk655_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4561,c_0_4562]),c_0_4563])]),c_0_4564]) ).
cnf(c_0_4570,negated_conjecture,
k7_lattices(esk655_0,k7_lattices(esk655_0,esk657_0)) = esk657_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_4565,c_0_4562]),c_0_4566]),c_0_4567]),c_0_4563])]),c_0_4564]) ).
cnf(c_0_4571,plain,
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X2,X3),X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X4)
| ~ m2_lattice4(X4,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_228 ).
cnf(c_0_4572,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
i_0_4237 ).
cnf(c_0_4573,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
i_0_1100 ).
cnf(c_0_4574,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_1095 ).
cnf(c_0_4575,negated_conjecture,
m2_filter_2(esk656_0,esk655_0),
i_0_4535 ).
cnf(c_0_4576,negated_conjecture,
( r2_hidden(k7_lattices(esk655_0,esk657_0),X1)
| r2_hidden(esk657_0,X1)
| ~ r2_filter_2(esk655_0,X1)
| ~ m2_filter_2(X1,esk655_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_4568,c_0_4569]),c_0_4570]),c_0_4566]),c_0_4567]),c_0_4563])]),c_0_4564]) ).
cnf(c_0_4577,negated_conjecture,
r2_filter_2(esk655_0,esk656_0),
i_0_4534 ).
cnf(c_0_4578,negated_conjecture,
( r2_hidden(k7_lattices(esk655_0,esk657_0),esk656_0)
| ~ r2_hidden(esk657_0,esk656_0) ),
i_0_4532 ).
cnf(c_0_4579,plain,
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X2,X3),X4)
| ~ m2_lattice4(X4,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_4571,c_0_4572]),c_0_4572]),c_0_4573]) ).
cnf(c_0_4580,negated_conjecture,
m2_lattice4(esk656_0,esk655_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4574,c_0_4575]),c_0_4567]),c_0_4563])]),c_0_4564]) ).
cnf(c_0_4581,plain,
( k3_lattices(X1,k7_lattices(X1,X2),X2) = k6_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_4121 ).
cnf(c_0_4582,negated_conjecture,
( r2_hidden(esk657_0,esk656_0)
| ~ r2_hidden(k7_lattices(esk655_0,esk657_0),esk656_0) ),
i_0_4531 ).
cnf(c_0_4583,negated_conjecture,
r2_hidden(k7_lattices(esk655_0,esk657_0),esk656_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4576,c_0_4577]),c_0_4575])]),c_0_4578]) ).
cnf(c_0_4584,negated_conjecture,
( r2_hidden(k3_lattices(esk655_0,X1,X2),esk656_0)
| ~ r2_hidden(X2,esk656_0)
| ~ r2_hidden(X1,esk656_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4579,c_0_4580]),c_0_4567]),c_0_4563])]),c_0_4564]) ).
cnf(c_0_4585,negated_conjecture,
k3_lattices(esk655_0,k7_lattices(esk655_0,esk657_0),esk657_0) = k6_lattices(esk655_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_4581,c_0_4562]),c_0_4566]),c_0_4567]),c_0_4563])]),c_0_4564]) ).
cnf(c_0_4586,negated_conjecture,
r2_hidden(esk657_0,esk656_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4582,c_0_4583])]) ).
cnf(c_0_4587,plain,
( v3_struct_0(X1)
| v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1) ),
i_0_151 ).
cnf(c_0_4588,plain,
( v3_struct_0(X1)
| X2 != u1_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ r2_filter_2(X1,X2) ),
i_0_222 ).
cnf(c_0_4589,plain,
( v3_struct_0(X1)
| m2_filter_2(u1_struct_0(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_3213 ).
cnf(c_0_4590,plain,
( X1 = u1_struct_0(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v14_lattices(X2)
| ~ m2_filter_2(X1,X2)
| ~ r2_hidden(k6_lattices(X2),X1) ),
i_0_3943 ).
cnf(c_0_4591,negated_conjecture,
r2_hidden(k6_lattices(esk655_0),esk656_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4584,c_0_4585]),c_0_4586]),c_0_4583])]) ).
cnf(c_0_4592,negated_conjecture,
v14_lattices(esk655_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4587,c_0_4566]),c_0_4563])]),c_0_4564]) ).
cnf(c_0_4593,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_filter_2(X1,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_4588]),c_0_4589]) ).
cnf(c_0_4594,plain,
u1_struct_0(esk655_0) = esk656_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_4590,c_0_4591]),c_0_4592]),c_0_4567]),c_0_4563]),c_0_4575])]),c_0_4564]) ).
cnf(c_0_4595,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_4593,c_0_4594]),c_0_4567]),c_0_4563]),c_0_4577])]),c_0_4564]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT323+3 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Thu Jun 30 15:03:29 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.44 # ENIGMATIC: Selected SinE mode:
% 0.70/0.88 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.70/0.88 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.70/0.88 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.70/0.88 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 52.49/9.65 # ENIGMATIC: Solved by autoschedule-lgb:
% 52.49/9.65 # No SInE strategy applied
% 52.49/9.65 # Trying AutoSched0 for 149 seconds
% 52.49/9.65 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 52.49/9.65 # and selection function SelectComplexExceptUniqMaxHorn.
% 52.49/9.65 #
% 52.49/9.65 # Preprocessing time : 0.034 s
% 52.49/9.65 # Presaturation interreduction done
% 52.49/9.65
% 52.49/9.65 # Proof found!
% 52.49/9.65 # SZS status Theorem
% 52.49/9.65 # SZS output start CNFRefutation
% See solution above
% 52.49/9.65 # Training examples: 0 positive, 0 negative
% 52.49/9.65
% 52.49/9.65 # -------------------------------------------------
% 52.49/9.65 # User time : 5.189 s
% 52.49/9.65 # System time : 0.107 s
% 52.49/9.65 # Total time : 5.296 s
% 52.49/9.65 # Maximum resident set size: 7128 pages
% 52.49/9.65
%------------------------------------------------------------------------------