TSTP Solution File: KLE071+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE071+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n012.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 : Sun Jul 17 01:49:58 EDT 2022
% Result : Theorem 21.48s 4.11s
% Output : CNFRefutation 21.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 64 ( 64 unt; 0 nHn; 4 RR)
% Number of literals : 64 ( 63 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 123 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_6,plain,
domain(multiplication(X1,domain(X2))) = domain(multiplication(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o4p7nepd/input.p',i_0_6) ).
cnf(i_0_14,plain,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o4p7nepd/input.p',i_0_14) ).
cnf(i_0_19,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o4p7nepd/input.p',i_0_19) ).
cnf(i_0_15,plain,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o4p7nepd/input.p',i_0_15) ).
cnf(i_0_2,plain,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o4p7nepd/input.p',i_0_2) ).
cnf(i_0_7,plain,
addition(domain(X1),one) = one,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o4p7nepd/input.p',i_0_7) ).
cnf(i_0_12,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o4p7nepd/input.p',i_0_12) ).
cnf(i_0_5,plain,
addition(X1,multiplication(domain(X1),X1)) = multiplication(domain(X1),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o4p7nepd/input.p',i_0_5) ).
cnf(i_0_1,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o4p7nepd/input.p',i_0_1) ).
cnf(i_0_9,plain,
domain(addition(X1,X2)) = addition(domain(X1),domain(X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o4p7nepd/input.p',i_0_9) ).
cnf(i_0_13,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o4p7nepd/input.p',i_0_13) ).
cnf(i_0_10,negated_conjecture,
multiplication(addition(domain(esk1_0),domain(esk2_0)),addition(domain(esk1_0),domain(esk3_0))) != addition(domain(esk1_0),multiplication(domain(esk2_0),domain(esk3_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o4p7nepd/input.p',i_0_10) ).
cnf(c_0_32,plain,
domain(multiplication(X1,domain(X2))) = domain(multiplication(X1,X2)),
i_0_6 ).
cnf(c_0_33,plain,
multiplication(one,X1) = X1,
i_0_14 ).
cnf(c_0_34,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
i_0_19 ).
cnf(c_0_35,plain,
multiplication(X1,one) = X1,
i_0_15 ).
cnf(c_0_36,plain,
addition(X1,X2) = addition(X2,X1),
i_0_2 ).
cnf(c_0_37,plain,
addition(domain(X1),one) = one,
i_0_7 ).
cnf(c_0_38,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
i_0_12 ).
cnf(c_0_39,plain,
addition(X1,multiplication(domain(X1),X1)) = multiplication(domain(X1),X1),
i_0_5 ).
cnf(c_0_40,plain,
domain(domain(X1)) = domain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_33]) ).
cnf(c_0_41,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_42,plain,
addition(one,domain(X1)) = one,
inference(rw,[status(thm)],[c_0_37,c_0_36]) ).
cnf(c_0_43,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_33]),c_0_36]) ).
cnf(c_0_44,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
i_0_1 ).
cnf(c_0_45,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(one,X2),X1),
inference(spm,[status(thm)],[c_0_38,c_0_33]) ).
cnf(c_0_46,plain,
multiplication(domain(X1),domain(X1)) = domain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_36]),c_0_42]),c_0_35]) ).
cnf(c_0_47,plain,
domain(addition(X1,X2)) = addition(domain(X1),domain(X2)),
i_0_9 ).
cnf(c_0_48,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_49,plain,
multiplication(domain(X1),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_43]),c_0_36]),c_0_42]),c_0_33]) ).
cnf(c_0_50,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
i_0_13 ).
cnf(c_0_51,plain,
addition(one,addition(domain(X1),X2)) = addition(one,X2),
inference(spm,[status(thm)],[c_0_44,c_0_42]) ).
cnf(c_0_52,plain,
addition(X1,multiplication(domain(X2),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_42]),c_0_33]) ).
cnf(c_0_53,plain,
multiplication(addition(X1,domain(X2)),domain(X2)) = multiplication(addition(one,X1),domain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_46]),c_0_36]),c_0_45]) ).
cnf(c_0_54,plain,
domain(addition(domain(X1),X2)) = domain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_40]),c_0_47]) ).
cnf(c_0_55,plain,
addition(X1,multiplication(X1,domain(X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_42]),c_0_35]) ).
cnf(c_0_56,plain,
domain(addition(X1,multiplication(X2,domain(X3)))) = domain(addition(X1,multiplication(X2,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_32]),c_0_47]) ).
cnf(c_0_57,plain,
multiplication(addition(X1,domain(X2)),X2) = addition(X2,multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_49]),c_0_36]) ).
cnf(c_0_58,plain,
multiplication(domain(X1),addition(X2,domain(X1))) = multiplication(domain(X1),addition(X2,one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_46]),c_0_36]),c_0_41]) ).
cnf(c_0_59,plain,
multiplication(domain(X1),multiplication(domain(X1),X2)) = multiplication(domain(X1),X2),
inference(spm,[status(thm)],[c_0_50,c_0_46]) ).
cnf(c_0_60,plain,
multiplication(domain(X1),addition(X2,X1)) = addition(X1,multiplication(domain(X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_49]),c_0_36]) ).
cnf(c_0_61,plain,
addition(one,multiplication(domain(X1),domain(X2))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_42]) ).
cnf(c_0_62,plain,
multiplication(domain(addition(X1,X2)),domain(X2)) = domain(X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_47]),c_0_42]),c_0_33]) ).
cnf(c_0_63,plain,
domain(addition(X1,multiplication(domain(X1),X2))) = domain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_40]),c_0_56]) ).
cnf(c_0_64,plain,
multiplication(domain(addition(X1,X2)),X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_47]),c_0_52]) ).
cnf(c_0_65,plain,
multiplication(domain(X1),domain(addition(X2,X1))) = domain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_47]),c_0_36]),c_0_42]),c_0_35]) ).
cnf(c_0_66,plain,
multiplication(domain(X1),addition(multiplication(domain(X1),X2),X3)) = multiplication(domain(X1),addition(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_59]),c_0_34]) ).
cnf(c_0_67,plain,
addition(multiplication(domain(X1),domain(X2)),domain(multiplication(domain(X1),X2))) = domain(multiplication(domain(X1),X2)),
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_61]),c_0_32]),c_0_35]),c_0_32]),c_0_35]) ).
cnf(c_0_68,plain,
multiplication(domain(X1),domain(multiplication(domain(X1),X2))) = domain(multiplication(domain(X1),X2)),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,plain,
multiplication(domain(X1),multiplication(domain(X2),X1)) = multiplication(domain(X2),X1),
inference(spm,[status(thm)],[c_0_64,c_0_52]) ).
cnf(c_0_70,plain,
multiplication(domain(multiplication(domain(X1),X2)),domain(X1)) = domain(multiplication(domain(X1),X2)),
inference(spm,[status(thm)],[c_0_65,c_0_63]) ).
cnf(c_0_71,plain,
domain(multiplication(domain(X1),X2)) = multiplication(domain(X1),domain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]),c_0_47]),c_0_52]) ).
cnf(c_0_72,plain,
multiplication(domain(X1),multiplication(domain(X2),domain(X1))) = multiplication(domain(X2),domain(X1)),
inference(spm,[status(thm)],[c_0_69,c_0_40]) ).
cnf(c_0_73,plain,
addition(X1,addition(multiplication(X1,domain(X2)),X3)) = addition(X1,X3),
inference(spm,[status(thm)],[c_0_44,c_0_55]) ).
cnf(c_0_74,plain,
multiplication(domain(X1),domain(X2)) = multiplication(domain(X2),domain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71]),c_0_50]),c_0_72]),c_0_71]) ).
cnf(c_0_75,plain,
multiplication(domain(X1),addition(domain(X1),X2)) = multiplication(domain(X1),addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_46]),c_0_41]) ).
cnf(c_0_76,plain,
addition(X1,multiplication(addition(X1,X2),domain(X3))) = addition(X1,multiplication(X2,domain(X3))),
inference(spm,[status(thm)],[c_0_73,c_0_38]) ).
cnf(c_0_77,negated_conjecture,
multiplication(addition(domain(esk1_0),domain(esk2_0)),addition(domain(esk1_0),domain(esk3_0))) != addition(domain(esk1_0),multiplication(domain(esk2_0),domain(esk3_0))),
i_0_10 ).
cnf(c_0_78,plain,
addition(multiplication(X1,domain(X2)),multiplication(domain(X2),domain(X3))) = multiplication(addition(X1,domain(X3)),domain(X2)),
inference(spm,[status(thm)],[c_0_38,c_0_74]) ).
cnf(c_0_79,plain,
multiplication(domain(X1),domain(addition(X1,X2))) = domain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_47]),c_0_36]),c_0_42]),c_0_35]) ).
cnf(c_0_80,plain,
addition(domain(X1),multiplication(domain(addition(X1,X2)),domain(X3))) = addition(domain(X1),multiplication(domain(X2),domain(X3))),
inference(spm,[status(thm)],[c_0_76,c_0_47]) ).
cnf(c_0_81,negated_conjecture,
addition(domain(esk1_0),multiplication(domain(esk2_0),domain(esk3_0))) != multiplication(domain(addition(esk1_0,esk2_0)),domain(addition(esk1_0,esk3_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_47]),c_0_47]) ).
cnf(c_0_82,plain,
addition(domain(X1),multiplication(domain(X2),domain(X3))) = multiplication(domain(addition(X1,X3)),domain(addition(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_47]) ).
cnf(c_0_83,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82]),c_0_74])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KLE071+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 : n012.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 : Thu Jun 16 12:31:56 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected SinE mode:
% 0.20/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 21.48/4.11 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 21.48/4.11 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 27; version: 991; iters: 150)
% 21.48/4.11 # Preprocessing time : 1.010 s
% 21.48/4.11 # Presaturation interreduction done
% 21.48/4.11
% 21.48/4.11 # Proof found!
% 21.48/4.11 # SZS status Theorem
% 21.48/4.11 # SZS output start CNFRefutation
% See solution above
% 21.48/4.11 # Training examples: 0 positive, 0 negative
% 21.48/4.11
% 21.48/4.11 # -------------------------------------------------
% 21.48/4.11 # User time : 1.573 s
% 21.48/4.11 # System time : 0.132 s
% 21.48/4.11 # Total time : 1.705 s
% 21.48/4.11 # ...preprocessing : 1.010 s
% 21.48/4.11 # ...main loop : 0.696 s
% 21.48/4.11 # Maximum resident set size: 168068 pages
% 21.48/4.11
%------------------------------------------------------------------------------