TSTP Solution File: KLE132+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE132+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 01:50:28 EDT 2022
% Result : Theorem 7.81s 2.41s
% Output : CNFRefutation 7.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of clauses : 56 ( 56 unt; 0 nHn; 12 RR)
% Number of literals : 56 ( 55 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 16 ( 3 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 : 69 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qf4q3vee/lgb.p',i_0_1) ).
cnf(i_0_3,plain,
addition(X1,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qf4q3vee/lgb.p',i_0_3) ).
cnf(i_0_22,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0)))))))) = antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qf4q3vee/lgb.p',i_0_22) ).
cnf(i_0_2,plain,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qf4q3vee/lgb.p',i_0_2) ).
cnf(i_0_16,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qf4q3vee/lgb.p',i_0_16) ).
cnf(i_0_25,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qf4q3vee/lgb.p',i_0_25) ).
cnf(i_0_14,plain,
multiplication(antidomain(X1),X1) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qf4q3vee/lgb.p',i_0_14) ).
cnf(i_0_4,plain,
addition(X1,zero) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qf4q3vee/lgb.p',i_0_4) ).
cnf(i_0_32,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qf4q3vee/lgb.p',i_0_32) ).
cnf(i_0_27,plain,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qf4q3vee/lgb.p',i_0_27) ).
cnf(i_0_26,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qf4q3vee/lgb.p',i_0_26) ).
cnf(i_0_24,plain,
multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qf4q3vee/lgb.p',i_0_24) ).
cnf(i_0_28,plain,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qf4q3vee/lgb.p',i_0_28) ).
cnf(i_0_23,negated_conjecture,
addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1))))))),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1))))))))))))))) = antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1)))))))))))))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qf4q3vee/lgb.p',i_0_23) ).
cnf(i_0_31,plain,
multiplication(X1,zero) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qf4q3vee/lgb.p',i_0_31) ).
cnf(i_0_21,negated_conjecture,
antidomain(antidomain(esk2_0)) != zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qf4q3vee/lgb.p',i_0_21) ).
cnf(c_0_49,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
i_0_1 ).
cnf(c_0_50,plain,
addition(X1,X1) = X1,
i_0_3 ).
cnf(c_0_51,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0)))))))) = antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),
i_0_22 ).
cnf(c_0_52,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,plain,
addition(X1,X2) = addition(X2,X1),
i_0_2 ).
cnf(c_0_54,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
i_0_16 ).
cnf(c_0_55,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
i_0_25 ).
cnf(c_0_56,plain,
multiplication(antidomain(X1),X1) = zero,
i_0_14 ).
cnf(c_0_57,plain,
addition(X1,zero) = X1,
i_0_4 ).
cnf(c_0_58,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),X1)) = addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),X1),
inference(spm,[status(thm)],[c_0_49,c_0_51]) ).
cnf(c_0_59,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_54,c_0_53]) ).
cnf(c_0_61,plain,
multiplication(addition(X1,antidomain(X2)),X2) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_62,plain,
addition(antidomain(antidomain(esk2_0)),addition(X1,antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))))) = addition(X1,antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0)))))))),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,plain,
addition(antidomain(X1),addition(antidomain(antidomain(X1)),X2)) = addition(one,X2),
inference(spm,[status(thm)],[c_0_49,c_0_60]) ).
cnf(c_0_64,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_60]),c_0_53]) ).
cnf(c_0_65,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
i_0_32 ).
cnf(c_0_66,plain,
multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
inference(spm,[status(thm)],[c_0_61,c_0_53]) ).
cnf(c_0_67,plain,
multiplication(one,X1) = X1,
i_0_27 ).
cnf(c_0_68,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
i_0_26 ).
cnf(c_0_69,plain,
multiplication(zero,X1) = zero,
i_0_24 ).
cnf(c_0_70,plain,
addition(antidomain(antidomain(antidomain(esk2_0))),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0)))))))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_71,plain,
multiplication(X1,one) = X1,
i_0_28 ).
cnf(c_0_72,plain,
multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_56]),c_0_57]) ).
cnf(c_0_73,plain,
multiplication(antidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_60]),c_0_67]) ).
cnf(c_0_74,plain,
multiplication(antidomain(X1),multiplication(X1,X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_56]),c_0_69]) ).
cnf(c_0_75,plain,
multiplication(antidomain(antidomain(antidomain(esk2_0))),antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))) = antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_70]),c_0_67]) ).
cnf(c_0_76,plain,
antidomain(one) = zero,
inference(spm,[status(thm)],[c_0_71,c_0_56]) ).
cnf(c_0_77,plain,
antidomain(antidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_60]),c_0_71]),c_0_73]) ).
cnf(c_0_78,negated_conjecture,
addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1))))))),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1))))))))))))))) = antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1)))))))))))))),
i_0_23 ).
cnf(c_0_79,plain,
multiplication(antidomain(antidomain(antidomain(antidomain(esk2_0)))),antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))) = zero,
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,plain,
addition(zero,antidomain(zero)) = one,
inference(spm,[status(thm)],[c_0_60,c_0_76]) ).
cnf(c_0_81,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_57,c_0_53]) ).
cnf(c_0_82,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),X1)) = addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_77]),c_0_77]) ).
cnf(c_0_83,negated_conjecture,
addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(X1))))),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(X1)),antidomain(multiplication(esk1_0,antidomain(antidomain(X1))))))))))) = antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(X1)),antidomain(multiplication(esk1_0,antidomain(antidomain(X1)))))))))),
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(rw,[status(thm)],[c_0_78,c_0_77]),c_0_77]),c_0_77]),c_0_77]),c_0_77]),c_0_77]),c_0_77]) ).
cnf(c_0_84,plain,
multiplication(antidomain(antidomain(esk2_0)),antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_77]),c_0_77]) ).
cnf(c_0_85,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_86,plain,
multiplication(X1,zero) = zero,
i_0_31 ).
cnf(c_0_87,negated_conjecture,
antidomain(antidomain(esk2_0)) != zero,
i_0_21 ).
cnf(c_0_88,negated_conjecture,
$false,
inference(sr,[status(thm)],[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(rw,[status(thm)],[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_82,c_0_83]),c_0_84]),c_0_85]),c_0_76]),c_0_86]),c_0_85]),c_0_76]),c_0_57]),c_0_84]),c_0_85]),c_0_76]),c_0_86]),c_0_85]),c_0_76]),c_0_87]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KLE132+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n024.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 13:07:04 EDT 2022
% 0.13/0.34 % 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
% 7.81/2.41 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.81/2.41 # No SInE strategy applied
% 7.81/2.41 # Trying AutoSched0 for 150 seconds
% 7.81/2.41 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S087N
% 7.81/2.41 # and selection function SelectCQArNpEqFirstUnlessPDom.
% 7.81/2.41 #
% 7.81/2.41 # Preprocessing time : 0.018 s
% 7.81/2.41 # Presaturation interreduction done
% 7.81/2.41
% 7.81/2.41 # Proof found!
% 7.81/2.41 # SZS status Theorem
% 7.81/2.41 # SZS output start CNFRefutation
% See solution above
% 7.81/2.41 # Training examples: 0 positive, 0 negative
% 7.81/2.41
% 7.81/2.41 # -------------------------------------------------
% 7.81/2.41 # User time : 0.049 s
% 7.81/2.41 # System time : 0.005 s
% 7.81/2.41 # Total time : 0.054 s
% 7.81/2.41 # Maximum resident set size: 7124 pages
% 7.81/2.41
%------------------------------------------------------------------------------