TSTP Solution File: REL016+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : REL016+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 : Mon Jul 18 19:13:07 EDT 2022
% Result : Theorem 26.81s 4.80s
% Output : CNFRefutation 26.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of clauses : 60 ( 56 unt; 0 nHn; 7 RR)
% Number of literals : 64 ( 63 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 104 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj50486i/input.p',i_0_7) ).
cnf(i_0_6,plain,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj50486i/input.p',i_0_6) ).
cnf(i_0_3,plain,
composition(X1,one) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj50486i/input.p',i_0_3) ).
cnf(i_0_5,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj50486i/input.p',i_0_5) ).
cnf(i_0_12,plain,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj50486i/input.p',i_0_12) ).
cnf(i_0_9,plain,
join(X1,complement(X1)) = top,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj50486i/input.p',i_0_9) ).
cnf(i_0_13,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj50486i/input.p',i_0_13) ).
cnf(i_0_14,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj50486i/input.p',i_0_14) ).
cnf(i_0_10,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj50486i/input.p',i_0_10) ).
cnf(i_0_4,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj50486i/input.p',i_0_4) ).
cnf(i_0_2,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj50486i/input.p',i_0_2) ).
cnf(i_0_11,negated_conjecture,
( join(complement(join(complement(composition(esk1_0,complement(join(complement(esk2_0),complement(complement(esk3_0)))))),complement(complement(composition(esk1_0,esk3_0))))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0)))))) != complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0)))))
| join(complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))),complement(join(complement(composition(esk1_0,complement(join(complement(esk2_0),complement(complement(esk3_0)))))),complement(complement(composition(esk1_0,esk3_0)))))) != complement(join(complement(composition(esk1_0,complement(join(complement(esk2_0),complement(complement(esk3_0)))))),complement(complement(composition(esk1_0,esk3_0))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj50486i/input.p',i_0_11) ).
cnf(c_0_27,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
i_0_7 ).
cnf(c_0_28,plain,
converse(converse(X1)) = X1,
i_0_6 ).
cnf(c_0_29,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,plain,
composition(X1,one) = X1,
i_0_3 ).
cnf(c_0_31,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_28]) ).
cnf(c_0_32,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
i_0_5 ).
cnf(c_0_33,plain,
join(X1,X2) = join(X2,X1),
i_0_12 ).
cnf(c_0_34,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,plain,
join(X1,complement(X1)) = top,
i_0_9 ).
cnf(c_0_36,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
i_0_13 ).
cnf(c_0_37,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_31,c_0_34]) ).
cnf(c_0_39,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
i_0_14 ).
cnf(c_0_40,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_34]),c_0_38]) ).
cnf(c_0_42,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
i_0_10 ).
cnf(c_0_43,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_39,c_0_33]) ).
cnf(c_0_44,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_33,c_0_36]) ).
cnf(c_0_45,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_35]),c_0_33]) ).
cnf(c_0_46,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_42,c_0_35]) ).
cnf(c_0_47,plain,
join(complement(X1),complement(join(complement(X2),join(complement(X1),complement(join(complement(X1),X2)))))) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_43]),c_0_44]),c_0_33]),c_0_33]) ).
cnf(c_0_48,plain,
join(X1,top) = top,
inference(spm,[status(thm)],[c_0_40,c_0_45]) ).
cnf(c_0_49,plain,
join(zero,complement(complement(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_41]),c_0_35]),c_0_46]),c_0_33]) ).
cnf(c_0_50,plain,
join(zero,complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_41]),c_0_35]),c_0_48]),c_0_46]),c_0_33]) ).
cnf(c_0_51,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_52,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_33]),c_0_36]) ).
cnf(c_0_53,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_41,c_0_51]) ).
cnf(c_0_54,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_43,c_0_33]) ).
cnf(c_0_55,plain,
join(X1,join(X2,X3)) = join(X3,join(X2,X1)),
inference(spm,[status(thm)],[c_0_44,c_0_33]) ).
cnf(c_0_56,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_36]),c_0_53]) ).
cnf(c_0_57,plain,
join(complement(join(complement(X1),X2)),join(X3,complement(join(complement(X2),complement(X1))))) = join(X3,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_54]),c_0_55]) ).
cnf(c_0_58,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
i_0_4 ).
cnf(c_0_59,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
i_0_2 ).
cnf(c_0_60,plain,
join(complement(join(X1,X2)),complement(join(complement(X2),X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_54,c_0_51]) ).
cnf(c_0_61,plain,
join(X1,join(X2,complement(join(complement(X1),X3)))) = join(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_55]) ).
cnf(c_0_62,plain,
converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)),
inference(spm,[status(thm)],[c_0_58,c_0_29]) ).
cnf(c_0_63,plain,
join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
inference(spm,[status(thm)],[c_0_59,c_0_27]) ).
cnf(c_0_64,plain,
join(complement(join(X1,X2)),complement(join(X1,complement(X2)))) = complement(X1),
inference(spm,[status(thm)],[c_0_43,c_0_51]) ).
cnf(c_0_65,plain,
join(X1,complement(join(X1,X2))) = join(complement(X2),X1),
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_60,c_0_60]),c_0_51]),c_0_51]),c_0_55]),c_0_61]),c_0_33]) ).
cnf(c_0_66,negated_conjecture,
( join(complement(join(complement(composition(esk1_0,complement(join(complement(esk2_0),complement(complement(esk3_0)))))),complement(complement(composition(esk1_0,esk3_0))))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0)))))) != complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0)))))
| join(complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))),complement(join(complement(composition(esk1_0,complement(join(complement(esk2_0),complement(complement(esk3_0)))))),complement(complement(composition(esk1_0,esk3_0)))))) != complement(join(complement(composition(esk1_0,complement(join(complement(esk2_0),complement(complement(esk3_0)))))),complement(complement(composition(esk1_0,esk3_0))))) ),
i_0_11 ).
cnf(c_0_67,plain,
join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
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_62,c_0_63]),c_0_58]),c_0_27]),c_0_28]),c_0_28]),c_0_28]) ).
cnf(c_0_68,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
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_60,c_0_64]),c_0_51]),c_0_51]),c_0_55]),c_0_65]),c_0_51]),c_0_56]),c_0_33]) ).
cnf(c_0_69,negated_conjecture,
( join(complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))),complement(join(complement(complement(composition(esk1_0,esk3_0))),complement(composition(esk1_0,complement(join(complement(esk2_0),complement(complement(esk3_0))))))))) != complement(join(complement(complement(composition(esk1_0,esk3_0))),complement(composition(esk1_0,complement(join(complement(esk2_0),complement(complement(esk3_0))))))))
| join(complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))),complement(join(complement(complement(composition(esk1_0,esk3_0))),complement(composition(esk1_0,complement(join(complement(esk2_0),complement(complement(esk3_0))))))))) != complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_33]),c_0_33]),c_0_33]),c_0_33]) ).
cnf(c_0_70,plain,
join(composition(X1,X2),complement(composition(X1,join(X2,X3)))) = join(complement(composition(X1,X3)),composition(X1,X2)),
inference(spm,[status(thm)],[c_0_65,c_0_67]) ).
cnf(c_0_71,plain,
join(composition(X1,X2),complement(composition(X1,join(X3,X2)))) = join(composition(X1,X2),complement(composition(X1,X3))),
inference(spm,[status(thm)],[c_0_68,c_0_67]) ).
cnf(c_0_72,negated_conjecture,
( join(complement(join(composition(esk1_0,esk3_0),complement(composition(esk1_0,esk2_0)))),complement(join(composition(esk1_0,esk3_0),complement(composition(esk1_0,complement(join(esk3_0,complement(esk2_0)))))))) != complement(join(composition(esk1_0,esk3_0),complement(composition(esk1_0,complement(join(esk3_0,complement(esk2_0)))))))
| join(complement(join(composition(esk1_0,esk3_0),complement(composition(esk1_0,esk2_0)))),complement(join(composition(esk1_0,esk3_0),complement(composition(esk1_0,complement(join(esk3_0,complement(esk2_0)))))))) != complement(join(composition(esk1_0,esk3_0),complement(composition(esk1_0,esk2_0)))) ),
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(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)],[c_0_69,c_0_51]),c_0_33]),c_0_51]),c_0_51]),c_0_33]),c_0_51]),c_0_51]),c_0_33]),c_0_51]),c_0_33]),c_0_51]),c_0_51]),c_0_33]),c_0_51]),c_0_33]) ).
cnf(c_0_73,plain,
join(composition(X1,X2),complement(composition(X1,complement(join(X2,X3))))) = join(composition(X1,X2),complement(composition(X1,complement(X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_65]),c_0_33]),c_0_71]) ).
cnf(c_0_74,negated_conjecture,
$false,
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)],[c_0_72,c_0_73]),c_0_51]),c_0_53]),c_0_73]),c_0_51]),c_0_73]),c_0_51]),c_0_53])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL016+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 13:41:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 26.81/4.80 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 26.81/4.80 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 35; version: 991; iters: 150)
% 26.81/4.80 # Preprocessing time : 0.798 s
% 26.81/4.80 # Presaturation interreduction done
% 26.81/4.80
% 26.81/4.80 # Proof found!
% 26.81/4.80 # SZS status Theorem
% 26.81/4.80 # SZS output start CNFRefutation
% See solution above
% 26.81/4.80 # Training examples: 0 positive, 0 negative
% 26.81/4.80
% 26.81/4.80 # -------------------------------------------------
% 26.81/4.80 # User time : 2.316 s
% 26.81/4.80 # System time : 0.118 s
% 26.81/4.80 # Total time : 2.434 s
% 26.81/4.80 # ...preprocessing : 0.798 s
% 26.81/4.80 # ...main loop : 1.636 s
% 26.81/4.80 # Maximum resident set size: 168164 pages
% 26.81/4.80
%------------------------------------------------------------------------------