TSTP Solution File: REL050+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : REL050+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 19:13:57 EDT 2022
% Result : Theorem 8.72s 2.53s
% Output : CNFRefutation 8.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 13
% Syntax : Number of clauses : 82 ( 79 unt; 0 nHn; 10 RR)
% Number of literals : 85 ( 84 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 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 : 116 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1dhfqf/lgb.p',i_0_7) ).
cnf(i_0_6,plain,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1dhfqf/lgb.p',i_0_6) ).
cnf(i_0_3,plain,
composition(X1,one) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1dhfqf/lgb.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-9q1dhfqf/lgb.p',i_0_5) ).
cnf(i_0_11,plain,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1dhfqf/lgb.p',i_0_11) ).
cnf(i_0_9,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1dhfqf/lgb.p',i_0_9) ).
cnf(i_0_8,plain,
join(X1,complement(X1)) = top,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1dhfqf/lgb.p',i_0_8) ).
cnf(i_0_13,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1dhfqf/lgb.p',i_0_13) ).
cnf(i_0_12,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1dhfqf/lgb.p',i_0_12) ).
cnf(i_0_4,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1dhfqf/lgb.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-9q1dhfqf/lgb.p',i_0_2) ).
cnf(i_0_1,plain,
composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1dhfqf/lgb.p',i_0_1) ).
cnf(i_0_10,negated_conjecture,
( join(composition(complement(composition(esk1_0,top)),top),complement(composition(esk1_0,top))) != complement(composition(esk1_0,top))
| join(complement(composition(esk1_0,top)),composition(complement(composition(esk1_0,top)),top)) != composition(complement(composition(esk1_0,top)),top) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1dhfqf/lgb.p',i_0_10) ).
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_11 ).
cnf(c_0_34,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,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_36,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_31,c_0_34]) ).
cnf(c_0_37,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
i_0_9 ).
cnf(c_0_38,plain,
join(X1,complement(X1)) = top,
i_0_8 ).
cnf(c_0_39,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_34]),c_0_36]) ).
cnf(c_0_40,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
i_0_13 ).
cnf(c_0_42,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
i_0_12 ).
cnf(c_0_43,plain,
join(zero,zero) = zero,
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_41,c_0_33]) ).
cnf(c_0_45,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,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_44,c_0_38]),c_0_39]),c_0_40]),c_0_33]) ).
cnf(c_0_47,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_48,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_49,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_39,c_0_48]) ).
cnf(c_0_50,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_42,c_0_49]) ).
cnf(c_0_51,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_44]),c_0_33]) ).
cnf(c_0_52,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_50,c_0_33]) ).
cnf(c_0_53,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_42,c_0_38]) ).
cnf(c_0_54,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_39]),c_0_38]) ).
cnf(c_0_56,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
i_0_4 ).
cnf(c_0_57,plain,
join(X1,join(complement(join(X2,complement(X1))),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_42,c_0_54]) ).
cnf(c_0_58,plain,
join(X1,top) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_38]),c_0_55]) ).
cnf(c_0_59,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_56,c_0_28]) ).
cnf(c_0_60,plain,
join(X1,complement(join(complement(X2),X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_44]),c_0_48]) ).
cnf(c_0_61,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_38,c_0_42]) ).
cnf(c_0_62,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_33,c_0_58]) ).
cnf(c_0_63,plain,
join(X1,converse(top)) = converse(top),
inference(spm,[status(thm)],[c_0_59,c_0_58]) ).
cnf(c_0_64,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_60,c_0_48]) ).
cnf(c_0_65,plain,
join(X1,join(X2,complement(join(X2,X1)))) = top,
inference(spm,[status(thm)],[c_0_61,c_0_33]) ).
cnf(c_0_66,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_33,c_0_47]) ).
cnf(c_0_67,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_54,c_0_48]) ).
cnf(c_0_68,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,plain,
join(X1,complement(join(X1,X2))) = 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(spm,[status(thm)],[c_0_64,c_0_65]),c_0_40]),c_0_42]),c_0_66]),c_0_42]),c_0_33]),c_0_67]) ).
cnf(c_0_70,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_38]),c_0_68]) ).
cnf(c_0_71,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
i_0_2 ).
cnf(c_0_72,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_40]),c_0_66]) ).
cnf(c_0_73,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[c_0_71,c_0_36]) ).
cnf(c_0_74,plain,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_72]),c_0_28]),c_0_28]) ).
cnf(c_0_75,plain,
composition(join(one,X1),top) = top,
inference(spm,[status(thm)],[c_0_73,c_0_62]) ).
cnf(c_0_76,plain,
join(X1,join(complement(X1),X2)) = top,
inference(rw,[status(thm)],[c_0_53,c_0_62]) ).
cnf(c_0_77,plain,
join(complement(X1),converse(complement(converse(X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_74,c_0_48]) ).
cnf(c_0_78,plain,
composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)),
i_0_1 ).
cnf(c_0_79,plain,
composition(top,top) = top,
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_80,plain,
complement(converse(complement(converse(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_77]),c_0_48]),c_0_33]),c_0_72]) ).
cnf(c_0_81,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_82,plain,
composition(top,composition(top,X1)) = composition(top,X1),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_83,plain,
converse(complement(converse(X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_48,c_0_80]) ).
cnf(c_0_84,negated_conjecture,
( join(composition(complement(composition(esk1_0,top)),top),complement(composition(esk1_0,top))) != complement(composition(esk1_0,top))
| join(complement(composition(esk1_0,top)),composition(complement(composition(esk1_0,top)),top)) != composition(complement(composition(esk1_0,top)),top) ),
i_0_10 ).
cnf(c_0_85,plain,
join(X1,composition(X1,converse(X2))) = composition(X1,converse(join(one,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_73]),c_0_81]),c_0_81]) ).
cnf(c_0_86,plain,
join(one,converse(X1)) = converse(join(one,X1)),
inference(spm,[status(thm)],[c_0_56,c_0_34]) ).
cnf(c_0_87,plain,
composition(top,complement(composition(top,X1))) = complement(composition(top,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_82]),c_0_68]),c_0_73]),c_0_58]) ).
cnf(c_0_88,plain,
composition(top,converse(X1)) = converse(composition(X1,top)),
inference(spm,[status(thm)],[c_0_27,c_0_68]) ).
cnf(c_0_89,plain,
complement(converse(X1)) = converse(complement(X1)),
inference(spm,[status(thm)],[c_0_28,c_0_83]) ).
cnf(c_0_90,negated_conjecture,
( join(complement(composition(esk1_0,top)),composition(complement(composition(esk1_0,top)),top)) != composition(complement(composition(esk1_0,top)),top)
| join(complement(composition(esk1_0,top)),composition(complement(composition(esk1_0,top)),top)) != complement(composition(esk1_0,top)) ),
inference(rw,[status(thm)],[c_0_84,c_0_33]) ).
cnf(c_0_91,plain,
join(X1,composition(X1,X2)) = composition(X1,join(one,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_28]),c_0_86]),c_0_28]) ).
cnf(c_0_92,plain,
converse(composition(complement(composition(X1,top)),top)) = converse(complement(composition(X1,top))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]),c_0_88]),c_0_89]) ).
cnf(c_0_93,negated_conjecture,
composition(complement(composition(esk1_0,top)),top) != complement(composition(esk1_0,top)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91]),c_0_58]),c_0_91]),c_0_58])]) ).
cnf(c_0_94,plain,
composition(complement(composition(X1,top)),top) = complement(composition(X1,top)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_92]),c_0_28]) ).
cnf(c_0_95,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL050+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 08:12:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.72/2.53 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.72/2.53 # No SInE strategy applied
% 8.72/2.53 # Trying AutoSched0 for 150 seconds
% 8.72/2.53 # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S04AN
% 8.72/2.53 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.72/2.53 #
% 8.72/2.53 # Preprocessing time : 0.013 s
% 8.72/2.53 # Presaturation interreduction done
% 8.72/2.53
% 8.72/2.53 # Proof found!
% 8.72/2.53 # SZS status Theorem
% 8.72/2.53 # SZS output start CNFRefutation
% See solution above
% 8.72/2.53 # Training examples: 0 positive, 0 negative
% 8.72/2.53
% 8.72/2.53 # -------------------------------------------------
% 8.72/2.53 # User time : 0.156 s
% 8.72/2.53 # System time : 0.011 s
% 8.72/2.53 # Total time : 0.167 s
% 8.72/2.53 # Maximum resident set size: 7124 pages
% 8.72/2.53
%------------------------------------------------------------------------------