TSTP Solution File: LAT356+4 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT356+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 04:30:16 EDT 2022
% Result : Theorem 15.49s 8.52s
% Output : CNFRefutation 15.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of clauses : 49 ( 21 unt; 8 nHn; 49 RR)
% Number of literals : 180 ( 10 equ; 130 neg)
% Maximal clause size : 23 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-4 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_57,plain,
( ~ l1_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ v1_lattice3(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vmv6py26/lgb.p',i_0_57) ).
cnf(i_0_8481,negated_conjecture,
v1_lattice3(esk1002_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vmv6py26/lgb.p',i_0_8481) ).
cnf(i_0_8478,negated_conjecture,
l1_orders_2(esk1002_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vmv6py26/lgb.p',i_0_8478) ).
cnf(i_0_2335,plain,
( v3_struct_0(X1)
| v1_partfun1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vmv6py26/lgb.p',i_0_2335) ).
cnf(i_0_8151,plain,
( v3_struct_0(X1)
| v3_waybel_1(k1_waybel_1(X1,X1,k7_grcat_1(X1),k7_grcat_1(X1)),X1,X1)
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vmv6py26/lgb.p',i_0_8151) ).
cnf(i_0_2420,plain,
( v3_struct_0(X1)
| v18_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vmv6py26/lgb.p',i_0_2420) ).
cnf(i_0_8484,negated_conjecture,
v2_orders_2(esk1002_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vmv6py26/lgb.p',i_0_8484) ).
cnf(i_0_4308,plain,
( v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_partfun1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vmv6py26/lgb.p',i_0_4308) ).
cnf(i_0_6850,plain,
( v3_struct_0(X1)
| v17_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vmv6py26/lgb.p',i_0_6850) ).
cnf(i_0_1006,plain,
( X1 = k2_waybel34(X2,X3,X4)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X1)
| ~ v18_waybel_0(X4,X3,X2)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_waybel_1(k1_waybel_1(X2,X3,X1,X4),X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vmv6py26/lgb.p',i_0_1006) ).
cnf(i_0_8480,negated_conjecture,
v2_lattice3(esk1002_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vmv6py26/lgb.p',i_0_8480) ).
cnf(i_0_8482,negated_conjecture,
v4_orders_2(esk1002_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vmv6py26/lgb.p',i_0_8482) ).
cnf(i_0_8483,negated_conjecture,
v3_orders_2(esk1002_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vmv6py26/lgb.p',i_0_8483) ).
cnf(i_0_8479,negated_conjecture,
v3_lattice3(esk1002_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vmv6py26/lgb.p',i_0_8479) ).
cnf(i_0_877,plain,
( X1 = k1_waybel34(X2,X3,X4)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X4)
| ~ v17_waybel_0(X4,X2,X3)
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_waybel_1(k1_waybel_1(X2,X3,X4,X1),X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vmv6py26/lgb.p',i_0_877) ).
cnf(i_0_8477,negated_conjecture,
( k1_waybel34(esk1002_0,esk1002_0,k7_grcat_1(esk1002_0)) != k7_grcat_1(esk1002_0)
| k2_waybel34(esk1002_0,esk1002_0,k7_grcat_1(esk1002_0)) != k7_grcat_1(esk1002_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vmv6py26/lgb.p',i_0_8477) ).
cnf(i_0_1458,plain,
( m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vmv6py26/lgb.p',i_0_1458) ).
cnf(i_0_2329,plain,
( v1_funct_1(k7_grcat_1(X1))
| ~ l1_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vmv6py26/lgb.p',i_0_2329) ).
cnf(i_0_1489,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vmv6py26/lgb.p',i_0_1489) ).
cnf(c_0_8504,plain,
( ~ l1_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ v1_lattice3(X1) ),
i_0_57 ).
cnf(c_0_8505,negated_conjecture,
v1_lattice3(esk1002_0),
i_0_8481 ).
cnf(c_0_8506,negated_conjecture,
l1_orders_2(esk1002_0),
i_0_8478 ).
cnf(c_0_8507,plain,
( v3_struct_0(X1)
| v1_partfun1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
i_0_2335 ).
cnf(c_0_8508,negated_conjecture,
~ v3_struct_0(esk1002_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8504,c_0_8505]),c_0_8506])]) ).
cnf(c_0_8509,plain,
( v3_struct_0(X1)
| v3_waybel_1(k1_waybel_1(X1,X1,k7_grcat_1(X1),k7_grcat_1(X1)),X1,X1)
| ~ l1_orders_2(X1) ),
i_0_8151 ).
cnf(c_0_8510,plain,
( v3_struct_0(X1)
| v18_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1) ),
i_0_2420 ).
cnf(c_0_8511,negated_conjecture,
v2_orders_2(esk1002_0),
i_0_8484 ).
cnf(c_0_8512,plain,
( v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_partfun1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_4308 ).
cnf(c_0_8513,negated_conjecture,
v1_partfun1(k7_grcat_1(esk1002_0),u1_struct_0(esk1002_0),u1_struct_0(esk1002_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8507,c_0_8506]),c_0_8508]) ).
cnf(c_0_8514,plain,
( v3_struct_0(X1)
| v17_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ l1_orders_2(X1) ),
i_0_6850 ).
cnf(c_0_8515,plain,
( X1 = k2_waybel34(X2,X3,X4)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X1)
| ~ v18_waybel_0(X4,X3,X2)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_waybel_1(k1_waybel_1(X2,X3,X1,X4),X2,X3) ),
i_0_1006 ).
cnf(c_0_8516,negated_conjecture,
v3_waybel_1(k1_waybel_1(esk1002_0,esk1002_0,k7_grcat_1(esk1002_0),k7_grcat_1(esk1002_0)),esk1002_0,esk1002_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8509,c_0_8506]),c_0_8508]) ).
cnf(c_0_8517,negated_conjecture,
v18_waybel_0(k7_grcat_1(esk1002_0),esk1002_0,esk1002_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8510,c_0_8511]),c_0_8506])]),c_0_8508]) ).
cnf(c_0_8518,negated_conjecture,
v2_lattice3(esk1002_0),
i_0_8480 ).
cnf(c_0_8519,negated_conjecture,
v4_orders_2(esk1002_0),
i_0_8482 ).
cnf(c_0_8520,negated_conjecture,
v3_orders_2(esk1002_0),
i_0_8483 ).
cnf(c_0_8521,negated_conjecture,
v3_lattice3(esk1002_0),
i_0_8479 ).
cnf(c_0_8522,plain,
( v1_funct_2(k7_grcat_1(esk1002_0),u1_struct_0(esk1002_0),u1_struct_0(esk1002_0))
| ~ m2_relset_1(k7_grcat_1(esk1002_0),u1_struct_0(esk1002_0),u1_struct_0(esk1002_0))
| ~ v1_funct_1(k7_grcat_1(esk1002_0)) ),
inference(spm,[status(thm)],[c_0_8512,c_0_8513]) ).
cnf(c_0_8523,plain,
( X1 = k1_waybel34(X2,X3,X4)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X4)
| ~ v17_waybel_0(X4,X2,X3)
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_waybel_1(k1_waybel_1(X2,X3,X4,X1),X2,X3) ),
i_0_877 ).
cnf(c_0_8524,negated_conjecture,
v17_waybel_0(k7_grcat_1(esk1002_0),esk1002_0,esk1002_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8514,c_0_8506]),c_0_8508]) ).
cnf(c_0_8525,negated_conjecture,
( k1_waybel34(esk1002_0,esk1002_0,k7_grcat_1(esk1002_0)) != k7_grcat_1(esk1002_0)
| k2_waybel34(esk1002_0,esk1002_0,k7_grcat_1(esk1002_0)) != k7_grcat_1(esk1002_0) ),
i_0_8477 ).
cnf(c_0_8526,negated_conjecture,
( k2_waybel34(esk1002_0,esk1002_0,k7_grcat_1(esk1002_0)) = k7_grcat_1(esk1002_0)
| ~ m2_relset_1(k7_grcat_1(esk1002_0),u1_struct_0(esk1002_0),u1_struct_0(esk1002_0))
| ~ v1_funct_1(k7_grcat_1(esk1002_0)) ),
inference(csr,[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_8515,c_0_8516]),c_0_8517]),c_0_8518]),c_0_8505]),c_0_8519]),c_0_8520]),c_0_8521]),c_0_8511]),c_0_8506])]),c_0_8522]) ).
cnf(c_0_8527,negated_conjecture,
( k1_waybel34(esk1002_0,esk1002_0,k7_grcat_1(esk1002_0)) = k7_grcat_1(esk1002_0)
| ~ m2_relset_1(k7_grcat_1(esk1002_0),u1_struct_0(esk1002_0),u1_struct_0(esk1002_0))
| ~ v1_funct_1(k7_grcat_1(esk1002_0)) ),
inference(csr,[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_8523,c_0_8516]),c_0_8524]),c_0_8518]),c_0_8505]),c_0_8519]),c_0_8520]),c_0_8521]),c_0_8511]),c_0_8506])]),c_0_8522]) ).
cnf(c_0_8528,negated_conjecture,
( ~ m2_relset_1(k7_grcat_1(esk1002_0),u1_struct_0(esk1002_0),u1_struct_0(esk1002_0))
| ~ v1_funct_1(k7_grcat_1(esk1002_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8525,c_0_8526]),c_0_8527]) ).
cnf(c_0_8529,plain,
( m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
i_0_1458 ).
cnf(c_0_8530,plain,
( v1_funct_1(k7_grcat_1(X1))
| ~ l1_struct_0(X1) ),
i_0_2329 ).
cnf(c_0_8531,plain,
~ l1_struct_0(esk1002_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8528,c_0_8529]),c_0_8530]) ).
cnf(c_0_8532,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
i_0_1489 ).
cnf(c_0_8533,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8531,c_0_8532]),c_0_8506])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT356+4 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n013.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 09:29:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected SinE mode:
% 2.39/2.55 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.39/2.55 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 2.39/2.55 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 2.39/2.55 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 15.49/8.52 # ENIGMATIC: Solved by autoschedule-lgb:
% 15.49/8.52 # No SInE strategy applied
% 15.49/8.52 # Trying AutoSched0 for 147 seconds
% 15.49/8.52 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 15.49/8.52 # and selection function SelectComplexExceptUniqMaxHorn.
% 15.49/8.52 #
% 15.49/8.52 # Preprocessing time : 0.040 s
% 15.49/8.52 # Presaturation interreduction done
% 15.49/8.52
% 15.49/8.52 # Proof found!
% 15.49/8.52 # SZS status Theorem
% 15.49/8.52 # SZS output start CNFRefutation
% See solution above
% 15.49/8.52 # Training examples: 0 positive, 0 negative
% 15.49/8.52
% 15.49/8.52 # -------------------------------------------------
% 15.49/8.52 # User time : 0.151 s
% 15.49/8.52 # System time : 0.009 s
% 15.49/8.52 # Total time : 0.160 s
% 15.49/8.52 # Maximum resident set size: 7132 pages
% 15.49/8.52
%------------------------------------------------------------------------------