TSTP Solution File: REL028+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : REL028+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 19:13:25 EDT 2022
% Result : Theorem 15.42s 3.30s
% Output : CNFRefutation 15.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of clauses : 81 ( 81 unt; 0 nHn; 19 RR)
% Number of literals : 81 ( 80 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 102 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n15yqel9/lgb.p',i_0_7) ).
cnf(i_0_6,plain,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n15yqel9/lgb.p',i_0_6) ).
cnf(i_0_3,plain,
composition(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n15yqel9/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/sandbox2/tmp/enigma-theBenchmark.p-n15yqel9/lgb.p',i_0_5) ).
cnf(i_0_13,plain,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n15yqel9/lgb.p',i_0_13) ).
cnf(i_0_9,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n15yqel9/lgb.p',i_0_9) ).
cnf(i_0_8,plain,
join(X1,complement(X1)) = top,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n15yqel9/lgb.p',i_0_8) ).
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-n15yqel9/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-n15yqel9/lgb.p',i_0_14) ).
cnf(i_0_4,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n15yqel9/lgb.p',i_0_4) ).
cnf(i_0_11,negated_conjecture,
join(esk2_0,one) = one,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n15yqel9/lgb.p',i_0_11) ).
cnf(i_0_12,negated_conjecture,
join(esk1_0,one) = one,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n15yqel9/lgb.p',i_0_12) ).
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-n15yqel9/lgb.p',i_0_2) ).
cnf(i_0_10,negated_conjecture,
complement(join(complement(esk1_0),complement(esk2_0))) != composition(esk1_0,esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n15yqel9/lgb.p',i_0_10) ).
cnf(c_0_30,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
i_0_7 ).
cnf(c_0_31,plain,
converse(converse(X1)) = X1,
i_0_6 ).
cnf(c_0_32,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_33,plain,
composition(X1,one) = X1,
i_0_3 ).
cnf(c_0_34,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_31]) ).
cnf(c_0_35,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
i_0_5 ).
cnf(c_0_36,plain,
join(X1,X2) = join(X2,X1),
i_0_13 ).
cnf(c_0_37,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_34,c_0_37]) ).
cnf(c_0_40,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
i_0_9 ).
cnf(c_0_41,plain,
join(X1,complement(X1)) = top,
i_0_8 ).
cnf(c_0_42,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_37]),c_0_39]) ).
cnf(c_0_43,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
i_0_15 ).
cnf(c_0_45,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
i_0_14 ).
cnf(c_0_46,plain,
join(zero,zero) = zero,
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_44,c_0_36]) ).
cnf(c_0_48,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
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_47,c_0_42]),c_0_41]),c_0_43]),c_0_36]) ).
cnf(c_0_50,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
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(converse(X1),converse(X2)) = converse(join(X1,X2)),
i_0_4 ).
cnf(c_0_53,negated_conjecture,
join(esk2_0,one) = one,
i_0_11 ).
cnf(c_0_54,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_42,c_0_51]) ).
cnf(c_0_55,negated_conjecture,
join(esk1_0,one) = one,
i_0_12 ).
cnf(c_0_56,plain,
join(top,zero) = top,
inference(spm,[status(thm)],[c_0_41,c_0_43]) ).
cnf(c_0_57,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_45,c_0_41]) ).
cnf(c_0_58,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
i_0_2 ).
cnf(c_0_59,plain,
converse(join(one,X1)) = join(one,converse(X1)),
inference(spm,[status(thm)],[c_0_52,c_0_37]) ).
cnf(c_0_60,negated_conjecture,
join(one,esk2_0) = one,
inference(rw,[status(thm)],[c_0_53,c_0_36]) ).
cnf(c_0_61,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_45,c_0_54]) ).
cnf(c_0_62,negated_conjecture,
join(one,esk1_0) = one,
inference(rw,[status(thm)],[c_0_55,c_0_36]) ).
cnf(c_0_63,plain,
join(top,join(zero,X1)) = join(top,X1),
inference(spm,[status(thm)],[c_0_45,c_0_56]) ).
cnf(c_0_64,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_42]),c_0_41]) ).
cnf(c_0_65,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[c_0_58,c_0_39]) ).
cnf(c_0_66,negated_conjecture,
join(one,converse(esk2_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_37]) ).
cnf(c_0_67,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_47]),c_0_36]) ).
cnf(c_0_68,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_61,c_0_36]) ).
cnf(c_0_69,plain,
join(one,join(esk1_0,X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_45,c_0_62]) ).
cnf(c_0_70,plain,
join(top,X1) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_49]),c_0_64]) ).
cnf(c_0_71,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_52,c_0_31]) ).
cnf(c_0_72,negated_conjecture,
join(X1,composition(converse(esk2_0),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_39]) ).
cnf(c_0_73,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,plain,
join(one,complement(esk1_0)) = join(one,top),
inference(spm,[status(thm)],[c_0_69,c_0_41]) ).
cnf(c_0_75,plain,
join(X1,top) = top,
inference(spm,[status(thm)],[c_0_36,c_0_70]) ).
cnf(c_0_76,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_36]),c_0_45]) ).
cnf(c_0_77,plain,
join(X1,composition(X1,esk2_0)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_31]),c_0_30]),c_0_31]) ).
cnf(c_0_78,plain,
join(X1,join(complement(join(X2,complement(X1))),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_45,c_0_73]) ).
cnf(c_0_79,plain,
join(one,complement(esk1_0)) = top,
inference(rw,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,plain,
join(X1,join(X2,composition(X1,esk2_0))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_81,plain,
join(X1,complement(join(complement(X2),X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_47]),c_0_51]) ).
cnf(c_0_82,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_41,c_0_45]) ).
cnf(c_0_83,plain,
join(X1,composition(complement(esk1_0),X1)) = composition(top,X1),
inference(spm,[status(thm)],[c_0_65,c_0_79]) ).
cnf(c_0_84,plain,
join(X1,composition(join(X2,X1),esk2_0)) = join(composition(X2,esk2_0),X1),
inference(spm,[status(thm)],[c_0_80,c_0_58]) ).
cnf(c_0_85,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_81,c_0_51]) ).
cnf(c_0_86,plain,
join(X1,join(X2,complement(join(X2,X1)))) = top,
inference(spm,[status(thm)],[c_0_82,c_0_36]) ).
cnf(c_0_87,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_36,c_0_50]) ).
cnf(c_0_88,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_73,c_0_51]) ).
cnf(c_0_89,plain,
join(complement(esk1_0),composition(top,esk2_0)) = join(esk2_0,complement(esk1_0)),
inference(spm,[status(thm)],[c_0_80,c_0_83]) ).
cnf(c_0_90,plain,
join(complement(X1),composition(X1,esk2_0)) = join(complement(X1),composition(top,esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_41]),c_0_36]) ).
cnf(c_0_91,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_85,c_0_86]),c_0_43]),c_0_45]),c_0_87]),c_0_45]),c_0_36]),c_0_88]) ).
cnf(c_0_92,plain,
join(complement(esk1_0),composition(esk1_0,esk2_0)) = join(esk2_0,complement(esk1_0)),
inference(rw,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_93,plain,
join(complement(X1),complement(composition(X1,esk2_0))) = complement(composition(X1,esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_77]),c_0_36]) ).
cnf(c_0_94,plain,
complement(composition(esk1_0,esk2_0)) = join(complement(esk1_0),complement(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_85]),c_0_93]) ).
cnf(c_0_95,negated_conjecture,
complement(join(complement(esk1_0),complement(esk2_0))) != composition(esk1_0,esk2_0),
i_0_10 ).
cnf(c_0_96,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_94]),c_0_95]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : REL028+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n004.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 10:25:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox2/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
% 15.42/3.30 # ENIGMATIC: Solved by autoschedule-lgb:
% 15.42/3.30 # No SInE strategy applied
% 15.42/3.30 # Trying AutoSched0 for 150 seconds
% 15.42/3.30 # AutoSched0-Mode selected heuristic G_E___209_C18_F1_AE_CS_SP_PI_S0Y
% 15.42/3.30 # and selection function SelectMaxLComplexAvoidPosPred.
% 15.42/3.30 #
% 15.42/3.30 # Preprocessing time : 0.012 s
% 15.42/3.30
% 15.42/3.30 # Proof found!
% 15.42/3.30 # SZS status Theorem
% 15.42/3.30 # SZS output start CNFRefutation
% See solution above
% 15.42/3.30 # Training examples: 0 positive, 0 negative
% 15.42/3.30
% 15.42/3.30 # -------------------------------------------------
% 15.42/3.30 # User time : 0.980 s
% 15.42/3.30 # System time : 0.055 s
% 15.42/3.30 # Total time : 1.035 s
% 15.42/3.30 # Maximum resident set size: 7120 pages
% 15.42/3.30
%------------------------------------------------------------------------------