TSTP Solution File: REL027+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : REL027+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 19:13:24 EDT 2022
% Result : Theorem 9.27s 2.64s
% Output : CNFRefutation 9.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of clauses : 52 ( 48 unt; 0 nHn; 11 RR)
% Number of literals : 56 ( 55 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3c8l8k1p/lgb.p',i_0_7) ).
cnf(i_0_3,plain,
composition(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3c8l8k1p/lgb.p',i_0_3) ).
cnf(i_0_6,plain,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3c8l8k1p/lgb.p',i_0_6) ).
cnf(i_0_5,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3c8l8k1p/lgb.p',i_0_5) ).
cnf(i_0_13,plain,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3c8l8k1p/lgb.p',i_0_13) ).
cnf(i_0_10,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3c8l8k1p/lgb.p',i_0_10) ).
cnf(i_0_9,plain,
join(X1,complement(X1)) = top,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3c8l8k1p/lgb.p',i_0_9) ).
cnf(i_0_2,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3c8l8k1p/lgb.p',i_0_2) ).
cnf(i_0_4,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3c8l8k1p/lgb.p',i_0_4) ).
cnf(i_0_15,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3c8l8k1p/lgb.p',i_0_15) ).
cnf(i_0_14,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3c8l8k1p/lgb.p',i_0_14) ).
cnf(i_0_12,negated_conjecture,
join(esk1_0,one) = one,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3c8l8k1p/lgb.p',i_0_12) ).
cnf(i_0_11,negated_conjecture,
( join(complement(join(complement(complement(composition(esk1_0,top))),complement(one))),complement(join(complement(complement(esk1_0)),complement(one)))) != complement(join(complement(complement(esk1_0)),complement(one)))
| join(complement(join(complement(complement(esk1_0)),complement(one))),complement(join(complement(complement(composition(esk1_0,top))),complement(one)))) != complement(join(complement(complement(composition(esk1_0,top))),complement(one))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3c8l8k1p/lgb.p',i_0_11) ).
cnf(c_0_29,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
i_0_7 ).
cnf(c_0_30,plain,
composition(X1,one) = X1,
i_0_3 ).
cnf(c_0_31,plain,
composition(converse(one),converse(X1)) = converse(X1),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_32,plain,
converse(converse(X1)) = X1,
i_0_6 ).
cnf(c_0_33,plain,
composition(converse(one),X1) = X1,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_34,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
i_0_5 ).
cnf(c_0_35,plain,
join(X1,X2) = join(X2,X1),
i_0_13 ).
cnf(c_0_36,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_30,c_0_33]) ).
cnf(c_0_37,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_33,c_0_36]) ).
cnf(c_0_39,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
i_0_10 ).
cnf(c_0_40,plain,
join(X1,complement(X1)) = top,
i_0_9 ).
cnf(c_0_41,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
i_0_2 ).
cnf(c_0_42,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
i_0_4 ).
cnf(c_0_43,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_36]),c_0_38]) ).
cnf(c_0_44,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
i_0_15 ).
cnf(c_0_46,plain,
composition(converse(X1),join(converse(X2),converse(X3))) = join(composition(converse(X1),converse(X2)),composition(converse(X1),converse(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_41]),c_0_42]),c_0_29]),c_0_29]),c_0_42]) ).
cnf(c_0_47,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
i_0_14 ).
cnf(c_0_48,plain,
join(zero,zero) = zero,
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_45,c_0_35]) ).
cnf(c_0_50,plain,
composition(converse(X1),join(one,converse(X2))) = join(converse(X1),composition(converse(X1),converse(X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_36]),c_0_30]),c_0_35]),c_0_35]) ).
cnf(c_0_51,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,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_49,c_0_43]),c_0_40]),c_0_44]),c_0_35]) ).
cnf(c_0_53,negated_conjecture,
join(esk1_0,one) = one,
i_0_12 ).
cnf(c_0_54,plain,
composition(X1,join(one,converse(X2))) = join(X1,composition(X1,converse(X2))),
inference(spm,[status(thm)],[c_0_50,c_0_32]) ).
cnf(c_0_55,negated_conjecture,
( join(complement(join(complement(complement(composition(esk1_0,top))),complement(one))),complement(join(complement(complement(esk1_0)),complement(one)))) != complement(join(complement(complement(esk1_0)),complement(one)))
| join(complement(join(complement(complement(esk1_0)),complement(one))),complement(join(complement(complement(composition(esk1_0,top))),complement(one)))) != complement(join(complement(complement(composition(esk1_0,top))),complement(one))) ),
i_0_11 ).
cnf(c_0_56,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_35]),c_0_47]) ).
cnf(c_0_58,negated_conjecture,
join(X1,composition(esk1_0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_53]),c_0_38]),c_0_35]),c_0_38]) ).
cnf(c_0_59,plain,
composition(X1,join(one,X2)) = join(X1,composition(X1,X2)),
inference(spm,[status(thm)],[c_0_54,c_0_32]) ).
cnf(c_0_60,negated_conjecture,
( join(complement(join(complement(one),complement(complement(esk1_0)))),complement(join(complement(one),complement(complement(composition(esk1_0,top)))))) != complement(join(complement(one),complement(complement(composition(esk1_0,top)))))
| join(complement(join(complement(one),complement(complement(esk1_0)))),complement(join(complement(one),complement(complement(composition(esk1_0,top)))))) != complement(join(complement(one),complement(complement(esk1_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)],[c_0_55,c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]) ).
cnf(c_0_61,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_52,c_0_56]) ).
cnf(c_0_62,plain,
join(X1,join(X2,composition(esk1_0,X1))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_63,plain,
join(X1,composition(X1,complement(one))) = composition(X1,top),
inference(spm,[status(thm)],[c_0_59,c_0_40]) ).
cnf(c_0_64,negated_conjecture,
( join(complement(join(esk1_0,complement(one))),complement(join(complement(one),composition(esk1_0,top)))) != complement(join(complement(one),composition(esk1_0,top)))
| join(complement(join(esk1_0,complement(one))),complement(join(complement(one),composition(esk1_0,top)))) != complement(join(esk1_0,complement(one))) ),
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_60,c_0_61]),c_0_35]),c_0_61]),c_0_61]),c_0_61]),c_0_35]),c_0_61]),c_0_61]),c_0_35]) ).
cnf(c_0_65,plain,
join(complement(one),composition(esk1_0,top)) = join(esk1_0,complement(one)),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_66,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_43,c_0_61]) ).
cnf(c_0_67,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)],[c_0_64,c_0_65]),c_0_66]),c_0_65]),c_0_65]),c_0_66])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL027+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 : n028.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 09:15:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox2/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
% 9.27/2.64 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.27/2.64 # No SInE strategy applied
% 9.27/2.64 # Trying AutoSched0 for 150 seconds
% 9.27/2.64 # AutoSched0-Mode selected heuristic H_____047_B31_F1_PI_AE_R4_CS_SP_S4d
% 9.27/2.64 # and selection function SelectCQIPrecWNTNp.
% 9.27/2.64 #
% 9.27/2.64 # Preprocessing time : 0.018 s
% 9.27/2.64
% 9.27/2.64 # Proof found!
% 9.27/2.64 # SZS status Theorem
% 9.27/2.64 # SZS output start CNFRefutation
% See solution above
% 9.27/2.64 # Training examples: 0 positive, 0 negative
% 9.27/2.64
% 9.27/2.64 # -------------------------------------------------
% 9.27/2.64 # User time : 0.150 s
% 9.27/2.64 # System time : 0.016 s
% 9.27/2.64 # Total time : 0.166 s
% 9.27/2.64 # Maximum resident set size: 7124 pages
% 9.27/2.64
%------------------------------------------------------------------------------