TSTP Solution File: SEU369+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU369+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Jul 19 08:41:35 EDT 2022
% Result : Theorem 7.86s 2.30s
% Output : CNFRefutation 7.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 24
% Syntax : Number of clauses : 66 ( 25 unt; 20 nHn; 56 RR)
% Number of literals : 197 ( 19 equ; 116 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 88 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_378,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_378) ).
cnf(i_0_107,plain,
( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| ~ rel_str(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_107) ).
cnf(i_0_242,plain,
( X1 = X2
| rel_str_of(X1,X3) != rel_str_of(X2,X4)
| ~ relation_of2(X3,X1,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_242) ).
cnf(i_0_1,plain,
( rel_str_of(the_carrier(X1),the_InternalRel(X1)) = X1
| ~ rel_str(X1)
| ~ strict_rel_str(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_1) ).
cnf(i_0_63,plain,
( rel_str_of(the_carrier(X1),k2_lattice3(X1)) = poset_of_lattice(X1)
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_63) ).
cnf(i_0_85,plain,
( empty_carrier(X1)
| rel_str(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_85) ).
cnf(i_0_89,plain,
( empty_carrier(X1)
| strict_rel_str(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_89) ).
cnf(i_0_393,negated_conjecture,
element(esk30_0,the_carrier(poset_of_lattice(boole_lattice(esk29_0)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_393) ).
cnf(i_0_184,plain,
lattice(boole_lattice(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_184) ).
cnf(i_0_73,plain,
latt_str(boole_lattice(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_73) ).
cnf(i_0_192,plain,
~ empty_carrier(boole_lattice(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_192) ).
cnf(i_0_65,plain,
( cast_to_el_of_LattPOSet(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_65) ).
cnf(i_0_392,negated_conjecture,
element(esk31_0,the_carrier(poset_of_lattice(boole_lattice(esk29_0)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_392) ).
cnf(i_0_401,plain,
( empty_carrier(X1)
| related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_401) ).
cnf(i_0_379,plain,
( empty_carrier(X1)
| below_refl(X1,X2,X3)
| ~ latt_str(X1)
| ~ meet_commutative(X1)
| ~ meet_absorbing(X1)
| ~ join_absorbing(X1)
| ~ below(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_379) ).
cnf(i_0_185,plain,
join_absorbing(boole_lattice(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_185) ).
cnf(i_0_186,plain,
meet_absorbing(boole_lattice(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_186) ).
cnf(i_0_188,plain,
meet_commutative(boole_lattice(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_188) ).
cnf(i_0_400,plain,
( empty_carrier(X1)
| below_refl(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_400) ).
cnf(i_0_387,plain,
( below(boole_lattice(X1),X2,X3)
| ~ subset(X2,X3)
| ~ element(X3,the_carrier(boole_lattice(X1)))
| ~ element(X2,the_carrier(boole_lattice(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_387) ).
cnf(i_0_390,negated_conjecture,
( subset(esk30_0,esk31_0)
| related_reflexive(poset_of_lattice(boole_lattice(esk29_0)),esk30_0,esk31_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_390) ).
cnf(i_0_380,plain,
( empty_carrier(X1)
| below(X1,X2,X3)
| ~ latt_str(X1)
| ~ meet_commutative(X1)
| ~ meet_absorbing(X1)
| ~ join_absorbing(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_380) ).
cnf(i_0_391,negated_conjecture,
( ~ subset(esk30_0,esk31_0)
| ~ related_reflexive(poset_of_lattice(boole_lattice(esk29_0)),esk30_0,esk31_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_391) ).
cnf(i_0_388,plain,
( subset(X1,X2)
| ~ below(boole_lattice(X3),X1,X2)
| ~ element(X2,the_carrier(boole_lattice(X3)))
| ~ element(X1,the_carrier(boole_lattice(X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uf_v8u53/lgb.p',i_0_388) ).
cnf(c_0_426,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_378 ).
cnf(c_0_427,plain,
( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| ~ rel_str(X1) ),
i_0_107 ).
cnf(c_0_428,plain,
( X1 = X2
| rel_str_of(X1,X3) != rel_str_of(X2,X4)
| ~ relation_of2(X3,X1,X1) ),
i_0_242 ).
cnf(c_0_429,plain,
( relation_of2(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| ~ rel_str(X1) ),
inference(spm,[status(thm)],[c_0_426,c_0_427]) ).
cnf(c_0_430,plain,
( the_carrier(X1) = X2
| rel_str_of(the_carrier(X1),the_InternalRel(X1)) != rel_str_of(X2,X3)
| ~ rel_str(X1) ),
inference(spm,[status(thm)],[c_0_428,c_0_429]) ).
cnf(c_0_431,plain,
( rel_str_of(the_carrier(X1),the_InternalRel(X1)) = X1
| ~ rel_str(X1)
| ~ strict_rel_str(X1) ),
i_0_1 ).
cnf(c_0_432,plain,
( the_carrier(X1) = X2
| X1 != rel_str_of(X2,X3)
| ~ strict_rel_str(X1)
| ~ rel_str(X1) ),
inference(spm,[status(thm)],[c_0_430,c_0_431]) ).
cnf(c_0_433,plain,
( rel_str_of(the_carrier(X1),k2_lattice3(X1)) = poset_of_lattice(X1)
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_63 ).
cnf(c_0_434,plain,
( the_carrier(X1) = the_carrier(X2)
| empty_carrier(X2)
| X1 != poset_of_lattice(X2)
| ~ strict_rel_str(X1)
| ~ rel_str(X1)
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(spm,[status(thm)],[c_0_432,c_0_433]) ).
cnf(c_0_435,plain,
( empty_carrier(X1)
| rel_str(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_85 ).
cnf(c_0_436,plain,
( empty_carrier(X1)
| strict_rel_str(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_89 ).
cnf(c_0_437,negated_conjecture,
element(esk30_0,the_carrier(poset_of_lattice(boole_lattice(esk29_0)))),
i_0_393 ).
cnf(c_0_438,plain,
( the_carrier(poset_of_lattice(X1)) = the_carrier(X1)
| empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_434]),c_0_435]),c_0_436]) ).
cnf(c_0_439,plain,
lattice(boole_lattice(X1)),
i_0_184 ).
cnf(c_0_440,plain,
latt_str(boole_lattice(X1)),
i_0_73 ).
cnf(c_0_441,plain,
~ empty_carrier(boole_lattice(X1)),
i_0_192 ).
cnf(c_0_442,plain,
( cast_to_el_of_LattPOSet(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_65 ).
cnf(c_0_443,negated_conjecture,
element(esk30_0,the_carrier(boole_lattice(esk29_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_438]),c_0_439]),c_0_440])]),c_0_441]) ).
cnf(c_0_444,negated_conjecture,
element(esk31_0,the_carrier(poset_of_lattice(boole_lattice(esk29_0)))),
i_0_392 ).
cnf(c_0_445,plain,
( empty_carrier(X1)
| related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_401 ).
cnf(c_0_446,plain,
cast_to_el_of_LattPOSet(boole_lattice(esk29_0),esk30_0) = esk30_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_443]),c_0_439]),c_0_440])]),c_0_441]) ).
cnf(c_0_447,negated_conjecture,
element(esk31_0,the_carrier(boole_lattice(esk29_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_438]),c_0_439]),c_0_440])]),c_0_441]) ).
cnf(c_0_448,plain,
( related_reflexive(poset_of_lattice(boole_lattice(esk29_0)),esk30_0,cast_to_el_of_LattPOSet(boole_lattice(esk29_0),X1))
| ~ below_refl(boole_lattice(esk29_0),esk30_0,X1)
| ~ element(X1,the_carrier(boole_lattice(esk29_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_445,c_0_446]),c_0_439]),c_0_440]),c_0_443])]),c_0_441]) ).
cnf(c_0_449,plain,
cast_to_el_of_LattPOSet(boole_lattice(esk29_0),esk31_0) = esk31_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_447]),c_0_439]),c_0_440])]),c_0_441]) ).
cnf(c_0_450,plain,
( related_reflexive(poset_of_lattice(boole_lattice(esk29_0)),esk30_0,esk31_0)
| ~ below_refl(boole_lattice(esk29_0),esk30_0,esk31_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_449]),c_0_447])]) ).
cnf(c_0_451,plain,
( empty_carrier(X1)
| below_refl(X1,X2,X3)
| ~ latt_str(X1)
| ~ meet_commutative(X1)
| ~ meet_absorbing(X1)
| ~ join_absorbing(X1)
| ~ below(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_379 ).
cnf(c_0_452,plain,
join_absorbing(boole_lattice(X1)),
i_0_185 ).
cnf(c_0_453,plain,
meet_absorbing(boole_lattice(X1)),
i_0_186 ).
cnf(c_0_454,plain,
meet_commutative(boole_lattice(X1)),
i_0_188 ).
cnf(c_0_455,plain,
( empty_carrier(X1)
| below_refl(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3)) ),
i_0_400 ).
cnf(c_0_456,plain,
( related_reflexive(poset_of_lattice(boole_lattice(esk29_0)),esk30_0,esk31_0)
| ~ below(boole_lattice(esk29_0),esk30_0,esk31_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(spm,[status(thm)],[c_0_450,c_0_451]),c_0_452]),c_0_453]),c_0_454]),c_0_440]),c_0_447]),c_0_443])]),c_0_441]) ).
cnf(c_0_457,plain,
( below(boole_lattice(X1),X2,X3)
| ~ subset(X2,X3)
| ~ element(X3,the_carrier(boole_lattice(X1)))
| ~ element(X2,the_carrier(boole_lattice(X1))) ),
i_0_387 ).
cnf(c_0_458,negated_conjecture,
( subset(esk30_0,esk31_0)
| related_reflexive(poset_of_lattice(boole_lattice(esk29_0)),esk30_0,esk31_0) ),
i_0_390 ).
cnf(c_0_459,plain,
( below_refl(boole_lattice(esk29_0),esk30_0,X1)
| ~ element(X1,the_carrier(boole_lattice(esk29_0)))
| ~ related_reflexive(poset_of_lattice(boole_lattice(esk29_0)),esk30_0,cast_to_el_of_LattPOSet(boole_lattice(esk29_0),X1)) ),
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_455,c_0_446]),c_0_439]),c_0_440]),c_0_443])]),c_0_441]) ).
cnf(c_0_460,plain,
related_reflexive(poset_of_lattice(boole_lattice(esk29_0)),esk30_0,esk31_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_457]),c_0_447]),c_0_443])]),c_0_458]) ).
cnf(c_0_461,plain,
( empty_carrier(X1)
| below(X1,X2,X3)
| ~ latt_str(X1)
| ~ meet_commutative(X1)
| ~ meet_absorbing(X1)
| ~ join_absorbing(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_380 ).
cnf(c_0_462,plain,
below_refl(boole_lattice(esk29_0),esk30_0,esk31_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_449]),c_0_447]),c_0_460])]) ).
cnf(c_0_463,negated_conjecture,
( ~ subset(esk30_0,esk31_0)
| ~ related_reflexive(poset_of_lattice(boole_lattice(esk29_0)),esk30_0,esk31_0) ),
i_0_391 ).
cnf(c_0_464,plain,
( subset(X1,X2)
| ~ below(boole_lattice(X3),X1,X2)
| ~ element(X2,the_carrier(boole_lattice(X3)))
| ~ element(X1,the_carrier(boole_lattice(X3))) ),
i_0_388 ).
cnf(c_0_465,plain,
below(boole_lattice(esk29_0),esk30_0,esk31_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(spm,[status(thm)],[c_0_461,c_0_462]),c_0_452]),c_0_453]),c_0_454]),c_0_440]),c_0_447]),c_0_443])]),c_0_441]) ).
cnf(c_0_466,negated_conjecture,
~ subset(esk30_0,esk31_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_463,c_0_460])]) ).
cnf(c_0_467,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_465]),c_0_447]),c_0_443])]),c_0_466]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU369+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n020.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 : Sun Jun 19 19:53:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.86/2.30 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.86/2.30 # No SInE strategy applied
% 7.86/2.30 # Trying AutoSched0 for 150 seconds
% 7.86/2.30 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 7.86/2.30 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.86/2.30 #
% 7.86/2.30 # Preprocessing time : 0.025 s
% 7.86/2.30
% 7.86/2.30 # Proof found!
% 7.86/2.30 # SZS status Theorem
% 7.86/2.30 # SZS output start CNFRefutation
% See solution above
% 7.86/2.30 # Training examples: 0 positive, 0 negative
% 7.86/2.30
% 7.86/2.30 # -------------------------------------------------
% 7.86/2.30 # User time : 0.040 s
% 7.86/2.30 # System time : 0.007 s
% 7.86/2.30 # Total time : 0.047 s
% 7.86/2.30 # Maximum resident set size: 7120 pages
% 7.86/2.30
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