TSTP Solution File: SEU359+2 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU359+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 08:41:30 EDT 2022
% Result : Theorem 7.36s 2.81s
% Output : CNFRefutation 7.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of clauses : 50 ( 10 unt; 14 nHn; 48 RR)
% Number of literals : 175 ( 24 equ; 116 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 54 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2584,negated_conjecture,
( join_on_relstr(esk431_0,esk433_0) = esk432_0
| related(esk431_0,esk432_0,X1)
| ~ element(X1,the_carrier(esk431_0))
| ~ relstr_set_smaller(esk431_0,esk433_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e3bfkkrk/lgb.p',i_0_2584) ).
cnf(i_0_586,plain,
( element(join_on_relstr(X1,X2),the_carrier(X1))
| ~ rel_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e3bfkkrk/lgb.p',i_0_586) ).
cnf(i_0_2587,negated_conjecture,
rel_str(esk431_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e3bfkkrk/lgb.p',i_0_2587) ).
cnf(i_0_571,plain,
( relstr_set_smaller(X1,X2,X3)
| X3 != join_on_relstr(X1,X2)
| ~ rel_str(X1)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e3bfkkrk/lgb.p',i_0_571) ).
cnf(i_0_2528,lemma,
( X1 = X2
| ~ rel_str(X3)
| ~ antisymmetric_relstr(X3)
| ~ related(X3,X2,X1)
| ~ related(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e3bfkkrk/lgb.p',i_0_2528) ).
cnf(i_0_2588,negated_conjecture,
antisymmetric_relstr(esk431_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e3bfkkrk/lgb.p',i_0_2588) ).
cnf(i_0_2586,negated_conjecture,
element(esk432_0,the_carrier(esk431_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e3bfkkrk/lgb.p',i_0_2586) ).
cnf(i_0_570,plain,
( related(X1,X2,X3)
| X2 != join_on_relstr(X1,X4)
| ~ rel_str(X1)
| ~ ex_sup_of_relstr_set(X1,X4)
| ~ relstr_set_smaller(X1,X4,X3)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e3bfkkrk/lgb.p',i_0_570) ).
cnf(i_0_2585,negated_conjecture,
( join_on_relstr(esk431_0,esk433_0) = esk432_0
| relstr_set_smaller(esk431_0,esk433_0,esk432_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e3bfkkrk/lgb.p',i_0_2585) ).
cnf(i_0_2582,negated_conjecture,
( ex_sup_of_relstr_set(esk431_0,esk433_0)
| relstr_set_smaller(esk431_0,esk433_0,esk432_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e3bfkkrk/lgb.p',i_0_2582) ).
cnf(i_0_2581,negated_conjecture,
( ex_sup_of_relstr_set(esk431_0,esk433_0)
| related(esk431_0,esk432_0,X1)
| ~ element(X1,the_carrier(esk431_0))
| ~ relstr_set_smaller(esk431_0,esk433_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e3bfkkrk/lgb.p',i_0_2581) ).
cnf(i_0_2571,negated_conjecture,
( join_on_relstr(esk431_0,esk433_0) != esk432_0
| ~ ex_sup_of_relstr_set(esk431_0,esk433_0)
| ~ related(esk431_0,esk432_0,esk434_0)
| ~ relstr_set_smaller(esk431_0,esk433_0,esk432_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e3bfkkrk/lgb.p',i_0_2571) ).
cnf(i_0_2574,negated_conjecture,
( relstr_set_smaller(esk431_0,esk433_0,esk434_0)
| join_on_relstr(esk431_0,esk433_0) != esk432_0
| ~ ex_sup_of_relstr_set(esk431_0,esk433_0)
| ~ relstr_set_smaller(esk431_0,esk433_0,esk432_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e3bfkkrk/lgb.p',i_0_2574) ).
cnf(i_0_2577,negated_conjecture,
( element(esk434_0,the_carrier(esk431_0))
| join_on_relstr(esk431_0,esk433_0) != esk432_0
| ~ ex_sup_of_relstr_set(esk431_0,esk433_0)
| ~ relstr_set_smaller(esk431_0,esk433_0,esk432_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e3bfkkrk/lgb.p',i_0_2577) ).
cnf(i_0_2458,lemma,
( ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X3,esk418_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e3bfkkrk/lgb.p',i_0_2458) ).
cnf(i_0_2459,lemma,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk418_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e3bfkkrk/lgb.p',i_0_2459) ).
cnf(i_0_2460,lemma,
( ex_sup_of_relstr_set(X1,X2)
| element(esk418_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e3bfkkrk/lgb.p',i_0_2460) ).
cnf(c_0_2606,negated_conjecture,
( join_on_relstr(esk431_0,esk433_0) = esk432_0
| related(esk431_0,esk432_0,X1)
| ~ element(X1,the_carrier(esk431_0))
| ~ relstr_set_smaller(esk431_0,esk433_0,X1) ),
i_0_2584 ).
cnf(c_0_2607,plain,
( element(join_on_relstr(X1,X2),the_carrier(X1))
| ~ rel_str(X1) ),
i_0_586 ).
cnf(c_0_2608,negated_conjecture,
rel_str(esk431_0),
i_0_2587 ).
cnf(c_0_2609,plain,
( relstr_set_smaller(X1,X2,X3)
| X3 != join_on_relstr(X1,X2)
| ~ rel_str(X1)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1)) ),
i_0_571 ).
cnf(c_0_2610,plain,
( join_on_relstr(esk431_0,esk433_0) = esk432_0
| related(esk431_0,esk432_0,join_on_relstr(esk431_0,X1))
| ~ relstr_set_smaller(esk431_0,esk433_0,join_on_relstr(esk431_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2606,c_0_2607]),c_0_2608])]) ).
cnf(c_0_2611,plain,
( relstr_set_smaller(X1,X2,join_on_relstr(X1,X2))
| ~ rel_str(X1)
| ~ ex_sup_of_relstr_set(X1,X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_2609]),c_0_2607]) ).
cnf(c_0_2612,lemma,
( X1 = X2
| ~ rel_str(X3)
| ~ antisymmetric_relstr(X3)
| ~ related(X3,X2,X1)
| ~ related(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3)) ),
i_0_2528 ).
cnf(c_0_2613,plain,
( join_on_relstr(esk431_0,esk433_0) = esk432_0
| related(esk431_0,esk432_0,join_on_relstr(esk431_0,esk433_0))
| ~ ex_sup_of_relstr_set(esk431_0,esk433_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2610,c_0_2611]),c_0_2608])]) ).
cnf(c_0_2614,negated_conjecture,
antisymmetric_relstr(esk431_0),
i_0_2588 ).
cnf(c_0_2615,negated_conjecture,
element(esk432_0,the_carrier(esk431_0)),
i_0_2586 ).
cnf(c_0_2616,plain,
( related(X1,X2,X3)
| X2 != join_on_relstr(X1,X4)
| ~ rel_str(X1)
| ~ ex_sup_of_relstr_set(X1,X4)
| ~ relstr_set_smaller(X1,X4,X3)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
i_0_570 ).
cnf(c_0_2617,negated_conjecture,
( join_on_relstr(esk431_0,esk433_0) = esk432_0
| relstr_set_smaller(esk431_0,esk433_0,esk432_0) ),
i_0_2585 ).
cnf(c_0_2618,negated_conjecture,
( ex_sup_of_relstr_set(esk431_0,esk433_0)
| relstr_set_smaller(esk431_0,esk433_0,esk432_0) ),
i_0_2582 ).
cnf(c_0_2619,lemma,
( join_on_relstr(esk431_0,esk433_0) = esk432_0
| ~ element(join_on_relstr(esk431_0,esk433_0),the_carrier(esk431_0))
| ~ related(esk431_0,join_on_relstr(esk431_0,esk433_0),esk432_0)
| ~ ex_sup_of_relstr_set(esk431_0,esk433_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2612,c_0_2613]),c_0_2614]),c_0_2608]),c_0_2615])]) ).
cnf(c_0_2620,plain,
( related(X1,join_on_relstr(X1,X2),X3)
| ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ ex_sup_of_relstr_set(X1,X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_2616]),c_0_2607]) ).
cnf(c_0_2621,negated_conjecture,
relstr_set_smaller(esk431_0,esk433_0,esk432_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2611,c_0_2617]),c_0_2608])]),c_0_2618]) ).
cnf(c_0_2622,lemma,
( join_on_relstr(esk431_0,esk433_0) = esk432_0
| ~ element(join_on_relstr(esk431_0,esk433_0),the_carrier(esk431_0))
| ~ ex_sup_of_relstr_set(esk431_0,esk433_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2619,c_0_2620]),c_0_2608]),c_0_2615]),c_0_2621])]) ).
cnf(c_0_2623,plain,
( join_on_relstr(esk431_0,esk433_0) = esk432_0
| ~ ex_sup_of_relstr_set(esk431_0,esk433_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2622,c_0_2607]),c_0_2608])]) ).
cnf(c_0_2624,negated_conjecture,
( ex_sup_of_relstr_set(esk431_0,esk433_0)
| related(esk431_0,esk432_0,X1)
| ~ element(X1,the_carrier(esk431_0))
| ~ relstr_set_smaller(esk431_0,esk433_0,X1) ),
i_0_2581 ).
cnf(c_0_2625,negated_conjecture,
( join_on_relstr(esk431_0,esk433_0) != esk432_0
| ~ ex_sup_of_relstr_set(esk431_0,esk433_0)
| ~ related(esk431_0,esk432_0,esk434_0)
| ~ relstr_set_smaller(esk431_0,esk433_0,esk432_0) ),
i_0_2571 ).
cnf(c_0_2626,negated_conjecture,
( relstr_set_smaller(esk431_0,esk433_0,esk434_0)
| join_on_relstr(esk431_0,esk433_0) != esk432_0
| ~ ex_sup_of_relstr_set(esk431_0,esk433_0)
| ~ relstr_set_smaller(esk431_0,esk433_0,esk432_0) ),
i_0_2574 ).
cnf(c_0_2627,negated_conjecture,
( element(esk434_0,the_carrier(esk431_0))
| join_on_relstr(esk431_0,esk433_0) != esk432_0
| ~ ex_sup_of_relstr_set(esk431_0,esk433_0)
| ~ relstr_set_smaller(esk431_0,esk433_0,esk432_0) ),
i_0_2577 ).
cnf(c_0_2628,lemma,
( ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X3,esk418_3(X1,X2,X3)) ),
i_0_2458 ).
cnf(c_0_2629,plain,
( related(esk431_0,esk432_0,X1)
| ~ element(X1,the_carrier(esk431_0))
| ~ relstr_set_smaller(esk431_0,esk433_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2620,c_0_2623]),c_0_2608])]),c_0_2624]) ).
cnf(c_0_2630,negated_conjecture,
( join_on_relstr(esk431_0,esk433_0) != esk432_0
| ~ related(esk431_0,esk432_0,esk434_0)
| ~ ex_sup_of_relstr_set(esk431_0,esk433_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2625,c_0_2621])]) ).
cnf(c_0_2631,negated_conjecture,
( relstr_set_smaller(esk431_0,esk433_0,esk434_0)
| join_on_relstr(esk431_0,esk433_0) != esk432_0
| ~ ex_sup_of_relstr_set(esk431_0,esk433_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2626,c_0_2621])]) ).
cnf(c_0_2632,negated_conjecture,
( element(esk434_0,the_carrier(esk431_0))
| join_on_relstr(esk431_0,esk433_0) != esk432_0
| ~ ex_sup_of_relstr_set(esk431_0,esk433_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2627,c_0_2621])]) ).
cnf(c_0_2633,lemma,
( ex_sup_of_relstr_set(esk431_0,X1)
| ~ element(esk418_3(esk431_0,X1,esk432_0),the_carrier(esk431_0))
| ~ relstr_set_smaller(esk431_0,esk433_0,esk418_3(esk431_0,X1,esk432_0))
| ~ relstr_set_smaller(esk431_0,X1,esk432_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2628,c_0_2629]),c_0_2614]),c_0_2608]),c_0_2615])]) ).
cnf(c_0_2634,lemma,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk418_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_2459 ).
cnf(c_0_2635,negated_conjecture,
~ ex_sup_of_relstr_set(esk431_0,esk433_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2630,c_0_2629]),c_0_2631]),c_0_2632]),c_0_2623]) ).
cnf(c_0_2636,lemma,
~ element(esk418_3(esk431_0,esk433_0,esk432_0),the_carrier(esk431_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_2633,c_0_2634]),c_0_2621]),c_0_2614]),c_0_2608]),c_0_2615])]),c_0_2635]) ).
cnf(c_0_2637,lemma,
( ex_sup_of_relstr_set(X1,X2)
| element(esk418_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_2460 ).
cnf(c_0_2638,lemma,
$false,
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_2636,c_0_2637]),c_0_2614]),c_0_2608]),c_0_2615]),c_0_2621])]),c_0_2635]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SEU359+2 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Sun Jun 19 08:25:49 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.39 # ENIGMATIC: Selected SinE mode:
% 0.15/0.41 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.15/0.41 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.15/0.41 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.36/2.81 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.36/2.81 # No SInE strategy applied
% 7.36/2.81 # Trying AutoSched0 for 150 seconds
% 7.36/2.81 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S0Y
% 7.36/2.81 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.36/2.81 #
% 7.36/2.81 # Preprocessing time : 0.018 s
% 7.36/2.81 # Presaturation interreduction done
% 7.36/2.81
% 7.36/2.81 # Proof found!
% 7.36/2.81 # SZS status Theorem
% 7.36/2.81 # SZS output start CNFRefutation
% See solution above
% 7.36/2.81 # Training examples: 0 positive, 0 negative
% 7.36/2.81
% 7.36/2.81 # -------------------------------------------------
% 7.36/2.81 # User time : 0.032 s
% 7.36/2.81 # System time : 0.004 s
% 7.36/2.81 # Total time : 0.035 s
% 7.36/2.81 # Maximum resident set size: 7188 pages
% 7.36/2.81
%------------------------------------------------------------------------------