TSTP Solution File: SEU350+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU350+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Jul 19 08:41:04 EDT 2022
% Result : Theorem 5.97s 3.39s
% Output : CNFRefutation 5.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 14 unt; 13 nHn; 32 RR)
% Number of literals : 84 ( 6 equ; 45 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_348,plain,
( cast_to_el_of_lattice(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0b9zfl68/lgb.p',i_0_348) ).
cnf(i_0_2438,negated_conjecture,
element(esk413_0,the_carrier(poset_of_lattice(esk412_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0b9zfl68/lgb.p',i_0_2438) ).
cnf(i_0_2440,negated_conjecture,
lattice(esk412_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0b9zfl68/lgb.p',i_0_2440) ).
cnf(i_0_2439,negated_conjecture,
latt_str(esk412_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0b9zfl68/lgb.p',i_0_2439) ).
cnf(i_0_2441,negated_conjecture,
~ empty_carrier(esk412_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0b9zfl68/lgb.p',i_0_2441) ).
cnf(i_0_530,plain,
( empty_carrier(X1)
| element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0b9zfl68/lgb.p',i_0_530) ).
cnf(i_0_317,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-0b9zfl68/lgb.p',i_0_317) ).
cnf(i_0_2430,lemma,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1))
| ~ relstr_set_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0b9zfl68/lgb.p',i_0_2430) ).
cnf(i_0_2436,negated_conjecture,
( relstr_set_smaller(poset_of_lattice(esk412_0),esk411_0,esk413_0)
| latt_element_smaller(esk412_0,cast_to_el_of_lattice(esk412_0,esk413_0),esk411_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0b9zfl68/lgb.p',i_0_2436) ).
cnf(i_0_2437,negated_conjecture,
( ~ relstr_set_smaller(poset_of_lattice(esk412_0),esk411_0,esk413_0)
| ~ latt_element_smaller(esk412_0,cast_to_el_of_lattice(esk412_0,esk413_0),esk411_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0b9zfl68/lgb.p',i_0_2437) ).
cnf(i_0_2431,lemma,
( empty_carrier(X1)
| relstr_set_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ latt_element_smaller(X1,X3,X2)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0b9zfl68/lgb.p',i_0_2431) ).
cnf(c_0_2453,plain,
( cast_to_el_of_lattice(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
i_0_348 ).
cnf(c_0_2454,negated_conjecture,
element(esk413_0,the_carrier(poset_of_lattice(esk412_0))),
i_0_2438 ).
cnf(c_0_2455,negated_conjecture,
lattice(esk412_0),
i_0_2440 ).
cnf(c_0_2456,negated_conjecture,
latt_str(esk412_0),
i_0_2439 ).
cnf(c_0_2457,negated_conjecture,
~ empty_carrier(esk412_0),
i_0_2441 ).
cnf(c_0_2458,plain,
( empty_carrier(X1)
| element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
i_0_530 ).
cnf(c_0_2459,negated_conjecture,
cast_to_el_of_lattice(esk412_0,esk413_0) = esk413_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2453,c_0_2454]),c_0_2455]),c_0_2456])]),c_0_2457]) ).
cnf(c_0_2460,plain,
( cast_to_el_of_LattPOSet(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_317 ).
cnf(c_0_2461,negated_conjecture,
element(esk413_0,the_carrier(esk412_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2458,c_0_2454]),c_0_2455]),c_0_2456])]),c_0_2457]),c_0_2459]) ).
cnf(c_0_2462,lemma,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1))
| ~ relstr_set_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2)) ),
i_0_2430 ).
cnf(c_0_2463,plain,
cast_to_el_of_LattPOSet(esk412_0,esk413_0) = esk413_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2460,c_0_2461]),c_0_2455]),c_0_2456])]),c_0_2457]) ).
cnf(c_0_2464,negated_conjecture,
( relstr_set_smaller(poset_of_lattice(esk412_0),esk411_0,esk413_0)
| latt_element_smaller(esk412_0,cast_to_el_of_lattice(esk412_0,esk413_0),esk411_0) ),
i_0_2436 ).
cnf(c_0_2465,negated_conjecture,
( ~ relstr_set_smaller(poset_of_lattice(esk412_0),esk411_0,esk413_0)
| ~ latt_element_smaller(esk412_0,cast_to_el_of_lattice(esk412_0,esk413_0),esk411_0) ),
i_0_2437 ).
cnf(c_0_2466,lemma,
( latt_element_smaller(esk412_0,esk413_0,X1)
| ~ relstr_set_smaller(poset_of_lattice(esk412_0),X1,esk413_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_2462,c_0_2463]),c_0_2455]),c_0_2456]),c_0_2461])]),c_0_2457]) ).
cnf(c_0_2467,negated_conjecture,
( latt_element_smaller(esk412_0,esk413_0,esk411_0)
| relstr_set_smaller(poset_of_lattice(esk412_0),esk411_0,esk413_0) ),
inference(rw,[status(thm)],[c_0_2464,c_0_2459]) ).
cnf(c_0_2468,negated_conjecture,
( ~ latt_element_smaller(esk412_0,esk413_0,esk411_0)
| ~ relstr_set_smaller(poset_of_lattice(esk412_0),esk411_0,esk413_0) ),
inference(rw,[status(thm)],[c_0_2465,c_0_2459]) ).
cnf(c_0_2469,negated_conjecture,
latt_element_smaller(esk412_0,esk413_0,esk411_0),
inference(spm,[status(thm)],[c_0_2466,c_0_2467]) ).
cnf(c_0_2470,lemma,
( empty_carrier(X1)
| relstr_set_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ latt_element_smaller(X1,X3,X2)
| ~ element(X3,the_carrier(X1)) ),
i_0_2431 ).
cnf(c_0_2471,negated_conjecture,
~ relstr_set_smaller(poset_of_lattice(esk412_0),esk411_0,esk413_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2468,c_0_2469])]) ).
cnf(c_0_2472,lemma,
( relstr_set_smaller(poset_of_lattice(esk412_0),X1,esk413_0)
| ~ latt_element_smaller(esk412_0,esk413_0,X1) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2470,c_0_2461]),c_0_2455]),c_0_2456])]),c_0_2457]),c_0_2463]) ).
cnf(c_0_2473,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2471,c_0_2472]),c_0_2469])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU350+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 19 17:14:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 # ENIGMATIC: Selected SinE mode:
% 0.20/0.51 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.51 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.51 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 5.97/3.39 # ENIGMATIC: Solved by autoschedule-lgb:
% 5.97/3.39 # No SInE strategy applied
% 5.97/3.39 # Trying AutoSched0 for 150 seconds
% 5.97/3.39 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 5.97/3.39 # and selection function SelectComplexExceptUniqMaxHorn.
% 5.97/3.39 #
% 5.97/3.39 # Preprocessing time : 0.014 s
% 5.97/3.39 # Presaturation interreduction done
% 5.97/3.39
% 5.97/3.39 # Proof found!
% 5.97/3.39 # SZS status Theorem
% 5.97/3.39 # SZS output start CNFRefutation
% See solution above
% 5.97/3.39 # Training examples: 0 positive, 0 negative
% 5.97/3.39
% 5.97/3.39 # -------------------------------------------------
% 5.97/3.39 # User time : 0.020 s
% 5.97/3.39 # System time : 0.007 s
% 5.97/3.39 # Total time : 0.027 s
% 5.97/3.39 # Maximum resident set size: 7124 pages
% 5.97/3.39
%------------------------------------------------------------------------------