TSTP Solution File: REL012+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : REL012+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 19:13:02 EDT 2022
% Result : Theorem 20.73s 4.03s
% Output : CNFRefutation 20.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of clauses : 60 ( 60 unt; 0 nHn; 7 RR)
% Number of literals : 60 ( 59 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 80 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d0ro2bx_/input.p',i_0_7) ).
cnf(i_0_6,plain,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d0ro2bx_/input.p',i_0_6) ).
cnf(i_0_3,plain,
composition(X1,one) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d0ro2bx_/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-d0ro2bx_/input.p',i_0_5) ).
cnf(i_0_11,plain,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d0ro2bx_/input.p',i_0_11) ).
cnf(i_0_8,plain,
join(X1,complement(X1)) = top,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d0ro2bx_/input.p',i_0_8) ).
cnf(i_0_12,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d0ro2bx_/input.p',i_0_12) ).
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-d0ro2bx_/input.p',i_0_13) ).
cnf(i_0_4,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d0ro2bx_/input.p',i_0_4) ).
cnf(i_0_9,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d0ro2bx_/input.p',i_0_9) ).
cnf(i_0_10,negated_conjecture,
join(composition(complement(composition(esk1_0,esk2_0)),converse(esk2_0)),complement(esk1_0)) != complement(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d0ro2bx_/input.p',i_0_10) ).
cnf(c_0_25,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
i_0_7 ).
cnf(c_0_26,plain,
converse(converse(X1)) = X1,
i_0_6 ).
cnf(c_0_27,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,plain,
composition(X1,one) = X1,
i_0_3 ).
cnf(c_0_29,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_26]) ).
cnf(c_0_30,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
i_0_5 ).
cnf(c_0_31,plain,
join(X1,X2) = join(X2,X1),
i_0_11 ).
cnf(c_0_32,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
join(X1,complement(X1)) = top,
i_0_8 ).
cnf(c_0_34,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
i_0_12 ).
cnf(c_0_35,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_29,c_0_32]) ).
cnf(c_0_37,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,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_32]),c_0_36]) ).
cnf(c_0_39,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
i_0_13 ).
cnf(c_0_40,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_33]),c_0_31]) ).
cnf(c_0_41,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
i_0_4 ).
cnf(c_0_42,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
i_0_9 ).
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_31]) ).
cnf(c_0_44,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_31,c_0_34]) ).
cnf(c_0_45,plain,
join(X1,top) = top,
inference(spm,[status(thm)],[c_0_37,c_0_40]) ).
cnf(c_0_46,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_41,c_0_26]) ).
cnf(c_0_47,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_42,c_0_33]) ).
cnf(c_0_48,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_31]),c_0_31]) ).
cnf(c_0_49,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_31,c_0_45]) ).
cnf(c_0_50,plain,
join(X1,converse(top)) = converse(top),
inference(spm,[status(thm)],[c_0_46,c_0_45]) ).
cnf(c_0_51,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_33]),c_0_47]),c_0_38]),c_0_31]) ).
cnf(c_0_52,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_48,c_0_38]),c_0_33]),c_0_45]),c_0_47]),c_0_31]) ).
cnf(c_0_53,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_33]),c_0_53]) ).
cnf(c_0_56,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_52,c_0_54]) ).
cnf(c_0_57,plain,
complement(join(complement(X1),complement(converse(complement(converse(complement(X1))))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_55]),c_0_47]),c_0_56]) ).
cnf(c_0_58,plain,
complement(join(X1,complement(converse(complement(converse(X1)))))) = complement(X1),
inference(spm,[status(thm)],[c_0_57,c_0_54]) ).
cnf(c_0_59,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_58]),c_0_43]) ).
cnf(c_0_60,plain,
join(converse(X1),complement(converse(complement(X1)))) = converse(X1),
inference(spm,[status(thm)],[c_0_59,c_0_26]) ).
cnf(c_0_61,plain,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_59]),c_0_26]),c_0_26]) ).
cnf(c_0_62,plain,
join(complement(converse(X1)),converse(complement(X1))) = converse(complement(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_54]),c_0_31]) ).
cnf(c_0_63,plain,
join(complement(X1),converse(complement(converse(X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_61,c_0_54]) ).
cnf(c_0_64,plain,
converse(complement(converse(X1))) = complement(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_26]),c_0_63]) ).
cnf(c_0_65,plain,
converse(complement(X1)) = complement(converse(X1)),
inference(spm,[status(thm)],[c_0_26,c_0_64]) ).
cnf(c_0_66,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_67,negated_conjecture,
join(composition(complement(composition(esk1_0,esk2_0)),converse(esk2_0)),complement(esk1_0)) != complement(esk1_0),
i_0_10 ).
cnf(c_0_68,plain,
converse(join(complement(converse(X1)),X2)) = join(complement(X1),converse(X2)),
inference(spm,[status(thm)],[c_0_46,c_0_65]) ).
cnf(c_0_69,plain,
join(complement(X1),composition(X2,complement(composition(converse(X2),X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_35,c_0_26]) ).
cnf(c_0_70,plain,
converse(composition(X1,complement(converse(X2)))) = composition(complement(X2),converse(X1)),
inference(spm,[status(thm)],[c_0_66,c_0_65]) ).
cnf(c_0_71,negated_conjecture,
join(complement(esk1_0),composition(complement(composition(esk1_0,esk2_0)),converse(esk2_0))) != complement(esk1_0),
inference(rw,[status(thm)],[c_0_67,c_0_31]) ).
cnf(c_0_72,plain,
join(complement(X1),composition(complement(composition(X1,X2)),converse(X2))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_65]),c_0_26]),c_0_25]),c_0_70]) ).
cnf(c_0_73,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL012+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 10:05:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 20.73/4.03 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 20.73/4.03 # 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: 33; version: 991; iters: 150)
% 20.73/4.03 # Preprocessing time : 0.859 s
% 20.73/4.03 # Presaturation interreduction done
% 20.73/4.03
% 20.73/4.03 # Proof found!
% 20.73/4.03 # SZS status Theorem
% 20.73/4.03 # SZS output start CNFRefutation
% See solution above
% 20.73/4.03 # Training examples: 0 positive, 0 negative
% 20.73/4.03
% 20.73/4.03 # -------------------------------------------------
% 20.73/4.03 # User time : 1.621 s
% 20.73/4.03 # System time : 0.125 s
% 20.73/4.03 # Total time : 1.746 s
% 20.73/4.03 # ...preprocessing : 0.859 s
% 20.73/4.03 # ...main loop : 0.887 s
% 20.73/4.03 # Maximum resident set size: 167820 pages
% 20.73/4.03
%------------------------------------------------------------------------------