TSTP Solution File: KLE082+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE082+1 : 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 : Sun Jul 17 01:50:02 EDT 2022
% Result : Theorem 8.62s 2.40s
% Output : CNFRefutation 8.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of clauses : 69 ( 69 unt; 0 nHn; 6 RR)
% Number of literals : 69 ( 68 equ; 2 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 96 ( 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-3nmf5my3/lgb.p',i_0_6) ).
cnf(i_0_16,plain,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3nmf5my3/lgb.p',i_0_16) ).
cnf(i_0_9,plain,
addition(domain(X1),domain(X2)) = domain(addition(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3nmf5my3/lgb.p',i_0_9) ).
cnf(i_0_7,plain,
addition(domain(X1),one) = one,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3nmf5my3/lgb.p',i_0_7) ).
cnf(i_0_2,plain,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3nmf5my3/lgb.p',i_0_2) ).
cnf(i_0_1,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3nmf5my3/lgb.p',i_0_1) ).
cnf(i_0_3,plain,
addition(X1,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3nmf5my3/lgb.p',i_0_3) ).
cnf(i_0_12,negated_conjecture,
addition(domain(X1),antidomain(X1)) = one,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3nmf5my3/lgb.p',i_0_12) ).
cnf(i_0_14,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3nmf5my3/lgb.p',i_0_14) ).
cnf(i_0_5,plain,
addition(X1,multiplication(domain(X1),X1)) = multiplication(domain(X1),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3nmf5my3/lgb.p',i_0_5) ).
cnf(i_0_17,plain,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3nmf5my3/lgb.p',i_0_17) ).
cnf(i_0_21,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3nmf5my3/lgb.p',i_0_21) ).
cnf(i_0_4,plain,
addition(X1,zero) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3nmf5my3/lgb.p',i_0_4) ).
cnf(i_0_11,negated_conjecture,
multiplication(domain(X1),antidomain(X1)) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3nmf5my3/lgb.p',i_0_11) ).
cnf(i_0_8,plain,
domain(zero) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3nmf5my3/lgb.p',i_0_8) ).
cnf(i_0_13,plain,
multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3nmf5my3/lgb.p',i_0_13) ).
cnf(i_0_10,negated_conjecture,
addition(antidomain(multiplication(esk1_0,esk2_0)),antidomain(multiplication(esk1_0,domain(esk2_0)))) != antidomain(multiplication(esk1_0,domain(esk2_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3nmf5my3/lgb.p',i_0_10) ).
cnf(c_0_39,plain,
domain(multiplication(X1,domain(X2))) = domain(multiplication(X1,X2)),
i_0_6 ).
cnf(c_0_40,plain,
multiplication(one,X1) = X1,
i_0_16 ).
cnf(c_0_41,plain,
addition(domain(X1),domain(X2)) = domain(addition(X1,X2)),
i_0_9 ).
cnf(c_0_42,plain,
domain(domain(X1)) = domain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_40]) ).
cnf(c_0_43,plain,
addition(domain(X1),one) = one,
i_0_7 ).
cnf(c_0_44,plain,
addition(X1,X2) = addition(X2,X1),
i_0_2 ).
cnf(c_0_45,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
i_0_1 ).
cnf(c_0_46,plain,
addition(X1,X1) = X1,
i_0_3 ).
cnf(c_0_47,negated_conjecture,
addition(domain(X1),antidomain(X1)) = one,
i_0_12 ).
cnf(c_0_48,plain,
domain(addition(X1,domain(X2))) = domain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_41]) ).
cnf(c_0_49,plain,
addition(one,domain(X1)) = one,
inference(rw,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
i_0_14 ).
cnf(c_0_52,negated_conjecture,
addition(antidomain(X1),domain(X1)) = one,
inference(rw,[status(thm)],[c_0_47,c_0_44]) ).
cnf(c_0_53,plain,
domain(addition(one,X1)) = domain(one),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_50,c_0_44]) ).
cnf(c_0_55,plain,
addition(X1,multiplication(domain(X1),X1)) = multiplication(domain(X1),X1),
i_0_5 ).
cnf(c_0_56,plain,
multiplication(X1,one) = X1,
i_0_17 ).
cnf(c_0_57,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_40]),c_0_44]) ).
cnf(c_0_58,negated_conjecture,
addition(antidomain(X1),addition(domain(X1),X2)) = addition(one,X2),
inference(spm,[status(thm)],[c_0_45,c_0_52]) ).
cnf(c_0_59,plain,
domain(addition(X1,one)) = domain(one),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_60,plain,
domain(one) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_49]) ).
cnf(c_0_61,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
i_0_21 ).
cnf(c_0_62,plain,
multiplication(domain(X1),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_57]),c_0_44]),c_0_49]),c_0_40]) ).
cnf(c_0_63,plain,
addition(X1,zero) = X1,
i_0_4 ).
cnf(c_0_64,plain,
addition(antidomain(X1),domain(addition(X1,X2))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_41]),c_0_49]) ).
cnf(c_0_65,plain,
domain(addition(X1,one)) = one,
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_66,plain,
addition(X1,multiplication(domain(X1),X2)) = multiplication(domain(X1),addition(X1,X2)),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_67,negated_conjecture,
multiplication(domain(X1),antidomain(X1)) = zero,
i_0_11 ).
cnf(c_0_68,negated_conjecture,
addition(domain(multiplication(X1,X2)),antidomain(multiplication(X1,domain(X2)))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_39]),c_0_44]) ).
cnf(c_0_69,plain,
domain(zero) = zero,
i_0_8 ).
cnf(c_0_70,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_63,c_0_44]) ).
cnf(c_0_71,plain,
addition(antidomain(X1),domain(addition(X2,X1))) = one,
inference(spm,[status(thm)],[c_0_64,c_0_54]) ).
cnf(c_0_72,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_56]),c_0_44]) ).
cnf(c_0_73,plain,
domain(multiplication(X1,addition(X2,one))) = domain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_65]),c_0_56]) ).
cnf(c_0_74,negated_conjecture,
multiplication(domain(X1),addition(X1,antidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_63]) ).
cnf(c_0_75,negated_conjecture,
antidomain(multiplication(domain(X1),domain(antidomain(X1)))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_67]),c_0_69]),c_0_70]) ).
cnf(c_0_76,plain,
multiplication(zero,X1) = zero,
i_0_13 ).
cnf(c_0_77,negated_conjecture,
multiplication(addition(domain(X1),X2),antidomain(X1)) = multiplication(X2,antidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_67]),c_0_70]) ).
cnf(c_0_78,plain,
addition(domain(X1),antidomain(multiplication(X1,X2))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_44]) ).
cnf(c_0_79,negated_conjecture,
multiplication(domain(X1),domain(antidomain(X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_39]),c_0_67]),c_0_69]),c_0_76]) ).
cnf(c_0_80,negated_conjecture,
addition(domain(X1),antidomain(domain(X1))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_42]),c_0_44]) ).
cnf(c_0_81,plain,
multiplication(antidomain(multiplication(X1,X2)),antidomain(X1)) = antidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_40]) ).
cnf(c_0_82,plain,
multiplication(domain(X1),addition(X1,domain(antidomain(X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_79]),c_0_63]) ).
cnf(c_0_83,negated_conjecture,
multiplication(antidomain(domain(X1)),antidomain(X1)) = antidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_80]),c_0_40]) ).
cnf(c_0_84,negated_conjecture,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_52]),c_0_44]) ).
cnf(c_0_85,plain,
multiplication(antidomain(X1),antidomain(domain(X1))) = antidomain(domain(X1)),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_86,plain,
addition(antidomain(X1),antidomain(domain(X1))) = antidomain(domain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_83]),c_0_44]),c_0_84]),c_0_56]),c_0_44]) ).
cnf(c_0_87,plain,
antidomain(domain(X1)) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_85]),c_0_86]),c_0_44]),c_0_84]),c_0_56]) ).
cnf(c_0_88,negated_conjecture,
addition(antidomain(multiplication(esk1_0,esk2_0)),antidomain(multiplication(esk1_0,domain(esk2_0)))) != antidomain(multiplication(esk1_0,domain(esk2_0))),
i_0_10 ).
cnf(c_0_89,plain,
antidomain(multiplication(X1,domain(X2))) = antidomain(multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_39]),c_0_87]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89]),c_0_46]),c_0_89])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE082+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n028.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 : Thu Jun 16 15:32:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.44 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.62/2.40 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.62/2.40 # No SInE strategy applied
% 8.62/2.40 # Trying AutoSched0 for 150 seconds
% 8.62/2.40 # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 8.62/2.40 # and selection function SelectNewComplexAHP.
% 8.62/2.40 #
% 8.62/2.40 # Preprocessing time : 0.012 s
% 8.62/2.40 # Presaturation interreduction done
% 8.62/2.40
% 8.62/2.40 # Proof found!
% 8.62/2.40 # SZS status Theorem
% 8.62/2.40 # SZS output start CNFRefutation
% See solution above
% 8.62/2.40 # Training examples: 0 positive, 0 negative
% 8.62/2.40
% 8.62/2.40 # -------------------------------------------------
% 8.62/2.40 # User time : 0.040 s
% 8.62/2.40 # System time : 0.002 s
% 8.62/2.40 # Total time : 0.042 s
% 8.62/2.40 # Maximum resident set size: 7124 pages
% 8.62/2.40
%------------------------------------------------------------------------------